April 1, 2016
Sorry, it's April Fool's Day - but this is a real post.
I have not been on line for a while. This is really the first day in a while that I have felt like getting on line.
I will say - chemotherapy is different for everyone - I hope my chemotherapy is making my cancer suffer more than it is making me suffer. I'm not complaining (well, yes I am a little) but I'd rather have the chemotherapy than not have it.
Good news though - so far I still have a beautiful head of hair.
I have one three week cycle under my belt. After two more cycles they will repeat my PET scan to see if we are making progress or not.
On the topic of mathematics - I am beginning to learn a bit about medical statistics in general and cancer statistics in more detail. As with most statistics (1) firm answers are never given, and (2) even the partial answers you get are laced with the seeds of misunderstanding. You really have to pay attention to what is said, and also what is not said.
In my last job, before I retired for the second time, I always had a frustrating time trying to show management how to use statistics to find out things that are truly meaningful, and not misleading. It is very hard to explain the significance of a standard deviation to people who barely understand what an average is. And when you can't provide firm answers they tend not to believe what you are providing them.
Anyway, I've got about a week before my next chemotherapy treatment - I will try to get some posts done between now and then.
I will say that I have given a lot of examples of Sequence Numbers, but I'm hoping that maybe some others will jump in and discover some more stuff. I mean, if I can do it, well...
David
SEQUENCE NUMBERS
998001 and Other Interesting Numbers
Friday, April 1, 2016
Wednesday, March 16, 2016
I'll be back - Soon I hope.
March 16, 2016
I know my posts have be erratic, but I have been dealing with health issues that make it difficult. My hands (and possibly my head) have set up some limitations. I have to work pretty hard to catch my mistakes - and I hope I have been catching most of them.
However, tomorrow I will be starting chemotherapy. I hope it will be successful and will last only a short time, but ... well things don't always go as we hope.
Anyways, I may be off line for a while. But I hope to be back at work soon.
David
I know my posts have be erratic, but I have been dealing with health issues that make it difficult. My hands (and possibly my head) have set up some limitations. I have to work pretty hard to catch my mistakes - and I hope I have been catching most of them.
However, tomorrow I will be starting chemotherapy. I hope it will be successful and will last only a short time, but ... well things don't always go as we hope.
Anyways, I may be off line for a while. But I hope to be back at work soon.
David
Sunday, February 28, 2016
Producing Multiplication Tables Using Sequence Numbers
Feb 28, 2016
Producing
Multiplication Tables Using Sequence Numbers
David Brooks
SAWB, BE, MS, MS
What
are Sequence Numbers?
They are integers that have a special
property. When you calculate the decimal
expansion of the inverse of a Sequence Number you get a recognizable number
sequence (many of these sequences are listed in the Online Encyclopedia of
Integer Sequences ( www.OEIS.org )
What kind of mathematics do I need to know
in order to work with Sequence Numbers?
You need to know how to take the inverse of
an integer. The inverse of 123 is “1
over 123” or “1 divided by 123” (1/123).
You also need to know how to do long
division – really long division that you can’t do on your calculator. But don’t worry – you can do it by hand on
paper OR you can get on the internet and go to ( www.wolframalpha.com )
and use this free “super calculator”. It
will take inputs of about 200 digits, and can provide an output of about 3900
digits.
I would not have been able to do these
calculations without access of the Wolfram Alpha website. And I could not check my answers without the
OEIS website. I would recommend you get
on these websites and play around with them to learn how to use them.
However if you understand how to create the
inverse of an integer, and you understand how to take a fraction and do long
division to get its decimal expansion (how to change a fraction into a
decimal), and you learn how to do
these computations on the internet, then you will have it made.
So, how do I make a Sequence Number that produces a multiplication
sequence?
The secret is to start with a Sequence Number that produces
a counting sequence, but is also divisible by the number that you want to
multiply:
Suppose I want to produce a sequence that
shows the multiples of 3.
998,001 is a Sequence Number that
produces a counting sequence (with terms written in three digit strings), and
it happens to be divisible by 3.
998001/3 = 332667
332,667 is a Sequence Number that
produces a sequence that shows the multiples of 3.
The inverse of this number is:
1/332667 =
0.
000 003 006 009 012 015 018 021 024 027 030 033 036 039 042 045 048 051 054 057 060 063 066 069 072 075 078 081 084 087 090 093 096 099 102 105 108 111 114 117 120 123 126 129 132 135 138 141 144 147 ...
Abracadabra – multiples of three!!!
|
The appendix contains a table that show the
prime factors of all of the Sequence Numbers that produce counting sequences,
with terms written in 1 to 65 digit strings.
These Sequence Numbers can be used to produce a multiplication sequence
for any number that is a factor of the counting sequence. You can use a single prime factor or a
combination of prime factors, as long as they are factors of the same Sequence
Number. Let’s try a couple!
99,980,001 is a Sequence
Number produces a counting sequence, with terms written in four digit
strings. Its prime factors are: 3^4 *
11^2 * 101^2.
So we can use the is
Sequence number to produce another Sequence Number that produces a
multiplication sequence for 3, 11, 101, 9, 27, 33, 303, etc.
Let’s do multiples of
33.
99980001/33 = 3,029,697
The inverse of this
number is:
1/3029697 =
0.
0000 0033 0066 0099 0132 0165 0198 0231 0264 0297 0330 0363 0396 0429 0462 0495 0528 0561 0594 0627 0660 0693 0726 ...
BAM! Multiples of 33 written in four digit
strings.
|
With a little bit of brain power you will
be able to produce multiplication sequences for many prime, and composite,
numbers.
The is one problem that we still need to
address.
All of the Sequence Numbers that produce
counting sequences end with the digit “1”, so none of these numbers are
divisible by 2 or by 5. So we have a
problem – we aren’t able to produce a Sequence Number that shows any the multiplies
any even number or any number that is a multiple of 5. So what do we do?
Suppose I want to
produce a sequence that shows the multiples of 30. The factors of 30 are 2 and 3 and 5.
So first I pick a
Sequence Number that is divisible by 3 (they all are, so I can pick any of
them).
999,998,000,001 is a
Sequence Number that produces a counting sequence, with terms written in six
digit strings.
The magic trick is to
add six “zeros” to the end of the Sequence Number. Adding the zeros makes this number
divisible by 2 and 5
999,998,000,001,000,000.
Then I can divide this
number by 30.
999,998,000,001,000,000/30
= 33,333,266,666,700,000
The inverse of this number
is:
1/33333266666700000 =
0.
000000 000000 000030 000060 000090 000120 000150 000180 000210 000240 000270 000300 000330 000360 000390 000420 000450 000480 000510 000540 000570 000600 000630 000660 000690 000720 000750 000780 000810 000840 000870 ... |
So how far can I go with this – Let’s see!
Multiples of 2:
499,999,000,000,500,000
produces a decimal sequence that count by twos (or show the terms of the twos
times table, or shows the even numbers).
The inverse of this
sequence number is:
1/499999000000500000 =
0.
000000 000000 000002 000004 000006 000008 000010 000012 000014 000016 000018 000020 000022 000024 000026 000028 000030 000032 000034 000036 000038 000040 000042 000044 000046 000048 000050 000052 000054 000056 000058 000060 000062 000064 000066 000068 000070 000072 000074 000076 000078 000080 000082 000084 000086 000088 000090 000092 000094 000096 000098 000100 000102 000104 000106 000108 000110 000112 000114 000116 000118 000120 000122 000124 000126 000128 000130 000132 000134 000136 000138 000140 000142 000144 000146 000148 000150 000152 000154 000156 000158 000160 ...
Terms are written in six
digit strings.
The first 80 non-zero
terms of this sequence are accurately listed above.
(I did do one “trick” to
make this one work. I have to do it
with sequences that multiply by a number that has 2 or 5 as a prime
factor. I will explain it in chapter
two, but for now please understand that it ends up adding an additional zero
term at the beginning, but does not change any of the non-zero terms. For now just trust me and watch in awe at
my wondrous magical abilities with numbers.)
Compare with OEIS
sequence A005843.
|
Multiples of 3:
333,332,666,667 is a
Sequence Number that produces a decimal expansion the counts by threes, or
shows the threes times table.
1/333332666667 =
0.
000000 000003 000006 000009 000012 000015 000018 000021 000024 000027 000030 000033 000036 000039 000042 000045 000048 000051 000054 000057 000060 000063 000066 000069 000072 000075 000078 000081 000084 000087 000090 000093 000096 000099 000102 000105 000108 000111 000114 000117 000120 000123 000126 000129 000132 000135 000138 000141 000144 000147 000150 000153 000156 000159 000162 000165 000168 000171 000174 000177 000180 000183 000186 000189 000192 000195 000198 000201 000204 000207 000210 000213 000216 000219 000222 000225 000228 000231 000234 000237 000240 …
Terms are written in six
digit strings.
The first 80 non-zero
terms in this sequence are shown above.
However, this sequence continues much further if you are willing to
follow it.
Compare with OEIS
sequence A008585.
|
I could choose a
Sequence Number that produces terms written with longer strings, but since my
output is limited to 3900 digits I will actually obtain more terms if we
choose a Sequence Number that produces terms written in four digit stringsl
1/33326667 =
When this expression in
input into Wolfram Alpha, and the maximum number of digits (about 3900
digits), you get the first 650 non-zero terms.
0.
0000 0003 0006 0009 0012 0015 0018 0021 0024 0027 0030 0033 0036 0039 0042 0045 0048 0051 0054 0057 0060 0063 0066 0069 0072 0075 0078 0081 0084 0087 0090 0093 0096 0099 0102 0105 0108 0111 0114 0117 0120 0123 0126 0129 0132 0135 0138 0141 0144 0147 0150 0153 0156 0159 0162 0165 0168 0171 0174 0177 0180 0183 0186 0189 0192 0195 0198 0201 0204 0207 0210 0213 0216 0219 0222 0225 0228 0231 0234 0237 0240 0243 0246 0249 0252 0255 0258 0261 0264 0267 0270 0273 0276 0279 0282 0285 0288 0291 0294 0297 0300 0303 0306 0309 0312 0315 0318 0321 0324 0327 0330 0333 0336 0339 0342 0345 0348 0351 0354 0357 0360 0363 0366 0369 0372 0375 0378 0381 0384 0387 0390 0393 0396 0399 0402 0405 0408 0411 0414 0417 0420 0423 0426 0429 0432 0435 0438 0441 0444 0447 0450 0453 0456 0459 0462 0465 0468 0471 0474 0477 0480 0483 0486 0489 0492 0495 0498 0501 0504 0507 0510 0513 0516 0519 0522 0525 0528 0531 0534 0537 0540 0543 0546 0549 0552 0555 0558 0561 0564 0567 0570 0573 0576 0579 0582 0585 0588 0591 0594 0597 0600 0603 0606 0609 0612 0615 0618 0621 0624 0627 0630 0633 0636 0639 0642 0645 0648 0651 0654 0657 0660 0663 0666 0669 0672 0675 0678 0681 0684 0687 0690 0693 0696 0699 0702 0705 0708 0711 0714 0717 0720 0723 0726 0729 0732 0735 0738 0741 0744 0747 0750 0753 0756 0759 0762 0765 0768 0771 0774 0777 0780 0783 0786 0789 0792 0795 0798 0801 0804 0807 0810 0813 0816 0819 0822 0825 0828 0831 0834 0837 0840 0843 0846 0849 0852 0855 0858 0861 0864 0867 0870 0873 0876 0879 0882 0885 0888 0891 0894 0897 0900 0903 0906 0909 0912 0915 0918 0921 0924 0927 0930 0933 0936 0939 0942 0945 0948 0951 0954 0957 0960 0963 0966 0969 0972 0975 0978 0981 0984 0987 0990 0993 0996 0999 1002 1005 1008 1011 1014 1017 1020 1023 1026 1029 1032 1035 1038 1041 1044 1047 1050 1053 1056 1059 1062 1065 1068 1071 1074 1077 1080 1083 1086 1089 1092 1095 1098 1101 1104 1107 1110 1113 1116 1119 1122 1125 1128 1131 1134 1137 1140 1143 1146 1149 1152 1155 1158 1161 1164 1167 1170 1173 1176 1179 1182 1185 1188 1191 1194 1197 1200 1203 1206 1209 1212 1215 1218 1221 1224 1227 1230 1233 1236 1239 1242 1245 1248 1251 1254 1257 1260 1263 1266 1269 1272 1275 1278 1281 1284 1287 1290 1293 1296 1299 1302 1305 1308 1311 1314 1317 1320 1323 1326 1329 1332 1335 1338 1341 1344 1347 1350 1353 1356 1359 1362 1365 1368 1371 1374 1377 1380 1383 1386 1389 1392 1395 1398 1401 1404 1407 1410 1413 1416 1419 1422 1425 1428 1431 1434 1437 1440 1443 1446 1449 1452 1455 1458 1461 1464 1467 1470 1473 1476 1479 1482 1485 1488 1491 1494 1497 1500 1503 1506 1509 1512 1515 1518 1521 1524 1527 1530 1533 1536 1539 1542 1545 1548 1551 1554 1557 1560 1563 1566 1569 1572 1575 1578 1581 1584 1587 1590 1593 1596 1599 1602 1605 1608 1611 1614 1617 1620 1623 1626 1629 1632 1635 1638 1641 1644 1647 1650 1653 1656 1659 1662 1665 1668 1671 1674 1677 1680 1683 1686 1689 1692 1695 1698 1701 1704 1707 1710 1713 1716 1719 1722 1725 1728 1731 1734 1737 1740 1743 1746 1749 1752 1755 1758 1761 1764 1767 1770 1773 1776 1779 1782 1785 1788 1791 1794 1797 1800 1803 1806 1809 1812 1815 1818 1821 1824 1827 1830 1833 1836 1839 1842 1845 1848 1851 1854 1857 1860 1863 1866 1869 1872 1875 1878 1881 1884 1887 1890 1893 1896 1899 1902 1905 1908 1911 1914 1917 1920 1923 1926 1929 1932 1935 1938 1941 1944 1947 1950 1953 1956 1959 1962 1965 1968 1971 1974 1977 1980 1983 1986 1989 1992 1995 1998 2001 2004 2007 2010 2013 2016 2019 2022 2025 2028 2031 2034 2037 2040 2043 2046 2049 2052 2055 2058 2061 2064 2067 2070 2073 2076 2079 2082 2085 2088 2091 2094 2097 2100 2103 2106 2109 2112 2115 2118 2121 2124 2127 2130 2133 2136 2139 2142 2145 2148 2151 2154 2157 2160 2163 2166 2169 2172 2175 2178 2181 2184 2187 2190 2193 2196 2199 2202 2205 2208 2211 2214 2217 2220 2223 2226 2229 2232 2235 2238 2241 2244 2247 2250 2253 2256 2259 2262 2265 2268 2271 2274 2277 2280 2283 2286 2289 2292 2295 2298 2301 2304 2307 2310 2313 2316 2319 2322 2325 2328 2331 2334 2337 2340 2343 2346 2349 2352 2355 2358 2361 2364 2367 2370 2373 2376 2379 2382 2385 2388 2391 2394 2397 2400 2403 2406 2409 2412 2415 2418 2421 2424 2427 2430 2433 2436 2439 2442 2445 2448 2451 2454 2457 2460 2463 2466 2469 2472 2475 2478 2481 2484 2487 2490 2493 2496 2499 2502 2505 2508 2511 2514 2517 2520 2523 2526 2529 2532 2535 2538 2541 2544 2547 2550 2553 2556 2559 2562 2565 2568 2571 2574 2577 2580 2583 2586 2589 2592 2595 2598 2601 2604 2607 2610 2613 2616 2619 2622 2625 2628 2631 2634 2637 2640 2643 2646 2649 2652 2655 2658 2661 2664 2667 2670 2673 2676 2679 2682 2685 2688 2691 2694 2697 2700 2703 2706 2709 2712 2715 2718 2721 2724 2727 2730 2733 2736 2739 2742 2745 2748 2751 2754 2757 2760 2763 2766 2769 2772 2775 2778 2781 2784 2787 2790 2793 2796 2799 2802 2805 2808 2811 2814 2817 2820 2823 2826 2829 2832 2835 2838 2841 2844 2847 2850 2853 2856 2859 2862 2865 2868 2871 2874 2877 2880 2883 2886 2889 2892 2895 2898 2901 2904 2907 2910 2913 2916 2919 2922 ...
Terms are written in
four digit strings
This sequence shows the
first 974 non-zero terms. 2922/3 =
974.
This is a repeating
decimal with a period of 13,332. Only
the first 3,900 digits are shown above.
Compare with OEIS
sequence A008585.
|
Multiples of Four:
249,999,500,000,250,000
is a Sequence Number that produces a sequence that counts by fours, or does the
fours times table.
1/249999500000250000 =
0. 000000 000000 000004 000008 000012 000016 000020 000024 000028 000032 000036 000040 000044 000048 000052 000056 000060 000064 000068 000072 000076 000080 000084 000088 000092 000096 000100 000104 000108 000112 000116 000120 000124 000128 000132 000136 000140 000144 000148 000152 000156 000160 000164 000168 000172 000176 000180 000184 000188 000192 000196 000200 000204 000208 000212 …
Strings are written in
six digit strings.
The first 53 terms of
this sequence are listed above.
Compare with OEIS
sequence A008586.
|
Multiples of five:
199,999,600,000,200,000
is a Sequence Number that produces a decimal expansion that counts by fives,
or shows the fives times table.
1/199999600000200000 =
0.
000000 000000 000005 000010 000015 000020 000025 000030 000035 000040 000045 000050 000055 000060 000065 000070 000075 000080 000085 000090 000095 000100 000105 000110 000115 000120 000125 000130 000135 000140 000145 000150 000155 000160 000165 000170 000175 000180 000185 000190 000195 000200 000205 000210 000215 000220 000225 000230 000235 000240 000245 000250 …
Terms are written in six
digit strings.
The first 50 non-zero
terms of this sequence are listed above.
Compare with OEIS
sequence A008587.
|
Multiples of six:
166,666,333,333,500,000
is a Sequence Number that produces a decimal expansion that counts by sixes,
or shows the sixes times table.
1/166666333333500000 =
0.
000000 000000 000006 000012 000018 000024 000030 000036 000042 000048 000054 000060 000066 000072 000078 000084 000090 000096 000102 000108 000114 000120 000126 000132 000138 000144 000150 000156 000162 000168 000174 000180 000186 000192 000198 000204 000210 000216 000222 000228 000234 000240 000246 000252 000258 000264 000270 000276 000282 000288 000294 000300 000306 000312 000318 000324 000330 000336 000342 000348 000354 000360 000366 000372 000378 000384 000390 000396 000402 000408 000414 000420 000426 000432 000438 000444 000450 000456 000462 000468 000474 000480 ...
Terms are written in six
digit strings.
The first 80 non-zero
terms of this sequence are listed above.
Compare with OEIS
sequence A008588.
|
Multiples of seven:
142,856,857,143 is a
Sequence Number that produces a decimal expansion that counts by sevens, or
shows the seven’s times table.
1/142856857143 =
0.
000000 000007 000014 000021 000028 000035 000042 000049 000056 000063 000070 000077 000084 000091 000098 000105 000112 000119 000126 000133 000140 000147 000154 000161 000168 000175 000182 000189 000196 000203 000210 000217 000224 000231 000238 000245 000252 000259 000266 000273 000280 000287 000294 000301 000308 000315 000322 000329 000336 000343 000350 000357 000364 000371 000378 000385 000392 000399 000406 000413 000420 000427 000434 000441 000448 000455 000462 000469 000476 000483 000490 000497 000504 000511 000518 000525 000532 000539 000546 000553 000560 …
Strings are written in
six digit strings.
The first 80 non-zero
terms of this sequence are listed above.
Compare with OEIS
sequence A008589.
|
Multiples of eight:
124,999,750,000,125,000
is a Sequence Number that produces a decimal expansion that counts by eights,
or shows the eight’s times table.
1/124999750000125000 =
0.
000000 000000 000008 000016 000024 000032 000040 000048 000056 000064 000072 000080 000088 000096 000104 000112 000120 000128 000136 000144 000152 000160 000168 000176 000184 000192 000200 000208 000216 000224 000232 000240 000248 000256 000264 000272 000280 000288 000296 000304 000312 000320 000328 000336 000344 000352 000360 000368 000376 000384 000392 000400 000408 000416 000424 000432 000440 000448 000456 000464 000472 000480 000488 000496 000504 000512 000520 000528 000536 000544 000552 000560 000568 000576 000584 000592 000600 000608 000616 000624 000632 000640 …
Terms are written in six
digit strings.
The first 80 non-zero
terms of this sequence are listed above.
Compare with OEIS
sequence A008590.
|
Multiples of nine:
111,110,888,889 is a
Sequence Number that produces a decimal expansion that counts by nines, or
shows the nine’s times table.
1/111110888889 =
0.
000000 000009 000018 000027 000036 000045 000054 000063 000072 000081 000090 000099 000108 000117 000126 000135 000144 000153 000162 000171 000180 000189 000198 000207 000216 000225 000234 000243 000252 000261 000270 000279 000288 000297 000306 000315 000324 000333 000342 000351 000360 000369 000378 000387 000396 000405 000414 000423 000432 000441 000450 000459 000468 000477 000486 000495 000504 000513 000522 000531 000540 000549 000558 000567 000576 000585 000594 000603 000612 000621 000630 000639 000648 000657 000666 000675 000684 000693 000702 000711 000720 …
Terms are written in six
digit strings.
The first 80 non-zero
terms of this sequence are listed above.
Compare with OEIS
sequence A008591.
|
Multiples of ten:
99,999,800,000,100,000
is a Sequence Number that produces a decimal expansion that count by tens, or
shows the ten’s times table.
1/99999800000100000 =
0.
000000 000000 000010 000020 000030 000040 000050 000060 000070 000080 000090 000100 000110 000120 000130 000140 000150 000160 000170 000180 000190 000200 000210 000220 000230 000240 000250 000260 000270 000280 000290 000300 000310 000320 000330 000340 000350 000360 000370 000380 000390 000400 000410 000420 000430 000440 000450 000460 000470 000480 000490 000500 000510 000520 000530 000540 000550 000560 000570 000580 000590 000600 000610 000620 000630 000640 000650 000660 000670 000680 000690 000700 000710 000720 000730 000740 000750 000760 000770 000780 000790 000800 …
Terms are written in six
digit strings.
The first 80 non-zero
terms are listed above.
Compare with OEIS
sequence A008592.
|
Multiples of 11:
90,908,909,091 is a
Sequence Number that produces a decimal expansion that counts by 11, or shows
the 11 times table.
1/90908909091 =
0.
000000 000011 000022 000033 000044 000055 000066 000077 000088 000099 000110 000121 000132 000143 000154 000165 000176 000187 000198 000209 000220 000231 000242 000253 000264 000275 000286 000297 000308 000319 000330 000341 000352 000363 000374 000385 000396 000407 000418 000429 000440 000451 000462 000473 000484 000495 000506 000517 000528 000539 000550 000561 000572 000583 000594 000605 000616 000627 000638 000649 000660 000671 000682 000693 000704 000715 000726 000737 000748 000759 000770 000781 000792 000803 000814 000825 000836 000847 000858 000869 000880 ...
Terms are written in six
digit strings.
The first 80 non-zero
terms of this sequence are listed above.
Compare with OEIS
sequence A008693.
|
Multiples of 12:
83,333,166,666,750,000
is a Sequence Number that produces a decimal expansion that counts by 12, or
shows the 12 times table.
1/83333166666750000 =
0.
000000 000000 000012 000024 000036 000048 000060 000072 000084 000096 000108 000120 000132 000144 000156 000168 000180 000192 000204 000216 000228 000240 000252 000264 000276 000288 000300 000312 000324 000336 000348 000360 000372 000384 000396 000408 000420 000432 000444 000456 000468 000480 000492 000504 000516 000528 000540 000552 000564 000576 000588 000600 000612 000624 000636 000648 000660 000672 000684 000696 000708 000720 000732 000744 000756 000768 000780 000792 000804 000816 000828 000840 000852 000864 000876 000888 000900 000912 000924 000936 000948 000960 000972 000984 000996 001008 001020 001032 001044 001056 001068 001080 001092 001104 001116 001128 001140 001152 001164 001176 001188 001200 001212 001224 001236 001248 001260 001272 001284 001296 001308 001320 001332 001344 001356 001368 001380 001392 001404 001416 001428 001440 001452 001464 001476 001488 001500 001512 001524 001536 001548 001560 001572 001584 001596 001608 001620 001632 001644 001656 001668 001680 001692 001704 001716 001728 001740 001752 001764 001776 001788 001800 001812 001824 001836 001848 001860 001872 001884 001896 001908 001920 001932 001944 001956 001968 001980 001992 002004 002016 002028 002040 002052 002064 002076 002088 002100 002112 002124 002136 002148 002160 002172 002184 002196 002208 002220 002232 002244 002256 002268 002280 002292 002304 002316 002328 002340 002352 002364 002376 002388 002400 002412 002424 002436 002448 002460 002472 002484 002496 002508 002520 002532 002544 002556 002568 002580 002592 002604 002616 002628 002640 002652 002664 002676 002688 002700 002712 002724 002736 002748 002760 002772 002784 002796 002808 002820 002832 002844 002856 002868 002880 002892 002904 002916 002928 002940 002952 002964 002976 002988 003000 003012 003024 003036 003048 003060 003072 003084 003096 003108 003120 003132 003144 003156 003168 003180 003192 003204 003216 003228 003240 003252 003264 003276 003288 003300 003312 003324 003336 003348 003360 003372 003384 003396 003408 003420 003432 003444 003456 003468 003480 003492 003504 003516 003528 003540 003552 003564 003576 003588 003600 003612 003624 003636 003648 003660 003672 003684 003696 003708 003720 003732 003744 003756 003768 003780 003792 003804 003816 003828 003840 003852 003864 003876 003888 003900 003912 003924 003936 003948 003960 003972 003984 003996 004008 004020 004032 004044 004056 004068 004080 004092 004104 004116 004128 004140 004152 004164 004176 004188 004200 004212 004224 004236 004248 004260 004272 004284 004296 004308 004320 004332 004344 004356 004368 004380 004392 004404 004416 004428 004440 004452 004464 004476 004488 004500 004512 004524 004536 004548 004560 004572 004584 004596 004608 004620 004632 004644 004656 004668 004680 004692 004704 004716 004728 004740 004752 004764 004776 004788 004800 004812 004824 004836 004848 004860 004872 004884 004896 004908 004920 004932 004944 004956 004968 004980 004992 005004 005016 005028 005040 005052 005064 005076 005088 005100 005112 005124 005136 005148 005160 005172 005184 005196 005208 005220 005232 005244 005256 005268 005280 005292 005304 005316 005328 005340 005352 005364 005376 005388 005400 005412 005424 005436 005448 005460 005472 005484 005496 005508 005520 005532 005544 005556 005568 005580 005592 005604 005616 005628 005640 005652 005664 005676 005688 005700 005712 005724 005736 005748 005760 005772 005784 005796 005808 005820 005832 005844 005856 005868 005880 005892 005904 005916 005928 005940 005952 005964 005976 005988 006000 006012 006024 006036 006048 006060 006072 006084 006096 006108 006120 006132 006144 006156 006168 006180 006192 006204 006216 006228 006240 006252 006264 006276 006288 006300 006312 006324 006336 006348 006360 006372 006384 006396 006408 006420 006432 006444 006456 006468 006480 006492 006504 006516 006528 006540 006552 006564 006576 006588 006600 006612 006624 006636 006648 006660 006672 006684 006696 006708 006720 006732 006744 006756 006768 006780 006792 006804 006816 006828 006840 006852 006864 006876 006888 006900 006912 006924 006936 006948 006960 006972 006984 006996 007008 007020 007032 007044 007056 007068 007080 007092 007104 007116 007128 007140 007152 007164 007176 007188 007200 007212 007224 007236 007248 007260 007272 007284 007296 007308 007320 007332 007344 007356 007368 007380 007392 007404 007416 007428 007440 007452 007464 007476 007488 007500 007512 007524 007536 007548 007560 007572 007584 007596 007608 007620 007632 007644 007656 007668 007680 007692 007704 007716 007728 007740 007752 007764 007776 007788 007800 ...
Terms are written in six
digit strings.
The first 650 non-zero
terms of this sequence are listed above.
Compare with OEIS sequence
A008594.
|
Multiples of 13:
76,922,923,077 is a
Sequence Number that produces a decimal expansion that counts by 13, or shows
the 13 times table.
1/76922923077 =
0.
000000 000013 000026 000039 000052 000065 000078 000091 000104 000117 000130 000143 000156 000169 000182 000195 000208 000221 000234 000247 000260 000273 000286 000299 000312 000325 000338 000351 000364 000377 000390 000403 000416 000429 000442 000455 000468 000481 000494 000507 000520 000533 000546 000559 000572 000585 000598 000611 000624 000637 000650 000663 000676 000689 000702 000715 000728 000741 000754 000767 000780 000793 000806 000819 000832 000845 000858 000871 000884 000897 000910 000923 000936 000949 000962 000975 000988 001001 001014 001027 001040 001053 001066 001079 001092 001105 001118 001131 001144 001157 001170 001183 001196 001209 001222 001235 001248 001261 001274 001287 001300 001313 001326 001339 001352 001365 001378 001391 001404 001417 001430 001443 001456 001469 001482 001495 001508 001521 001534 001547 001560 001573 001586 001599 001612 001625 001638 001651 001664 001677 001690 001703 001716 001729 001742 001755 001768 001781 001794 001807 001820 001833 001846 001859 001872 001885 001898 001911 001924 001937 001950 001963 001976 001989 002002 002015 002028 002041 002054 002067 002080 002093 002106 002119 002132 002145 002158 002171 002184 002197 002210 002223 002236 002249 002262 002275 002288 002301 002314 002327 002340 002353 002366 002379 002392 002405 002418 002431 002444 002457 002470 002483 002496 002509 002522 002535 002548 002561 002574 002587 002600 002613 002626 002639 002652 002665 002678 002691 002704 002717 002730 002743 002756 002769 002782 002795 002808 002821 002834 002847 002860 002873 002886 002899 002912 002925 002938 002951 002964 002977 002990 003003 003016 003029 003042 003055 003068 003081 003094 003107 003120 003133 003146 003159 003172 003185 003198 003211 003224 003237 003250 003263 003276 003289 003302 003315 003328 003341 003354 003367 003380 003393 003406 003419 003432 003445 003458 003471 003484 003497 003510 003523 003536 003549 003562 003575 003588 003601 003614 003627 003640 003653 003666 003679 003692 003705 003718 003731 003744 003757 003770 003783 003796 003809 003822 003835 003848 003861 003874 003887 003900 003913 003926 003939 003952 003965 003978 003991 004004 004017 004030 004043 004056 004069 004082 004095 004108 004121 004134 004147 004160 004173 004186 004199 004212 004225 004238 004251 004264 004277 004290 004303 004316 004329 004342 004355 004368 004381 004394 004407 004420 004433 004446 004459 004472 004485 004498 004511 004524 004537 004550 004563 004576 004589 004602 004615 004628 004641 004654 004667 004680 004693 004706 004719 004732 004745 004758 004771 004784 004797 004810 004823 004836 004849 004862 004875 004888 004901 004914 004927 004940 004953 004966 004979 004992 005005 005018 005031 005044 005057 005070 005083 005096 005109 005122 005135 005148 005161 005174 005187 005200 005213 005226 005239 005252 005265 005278 005291 005304 005317 005330 005343 005356 005369 005382 005395 005408 005421 005434 005447 005460 005473 005486 005499 005512 005525 005538 005551 005564 005577 005590 005603 005616 005629 005642 005655 005668 005681 005694 005707 005720 005733 005746 005759 005772 005785 005798 005811 005824 005837 005850 005863 005876 005889 005902 005915 005928 005941 005954 005967 005980 005993 006006 006019 006032 006045 006058 006071 006084 006097 006110 006123 006136 006149 006162 006175 006188 006201 006214 006227 006240 006253 006266 006279 006292 006305 006318 006331 006344 006357 006370 006383 006396 006409 006422 006435 006448 006461 006474 006487 006500 006513 006526 006539 006552 006565 006578 006591 006604 006617 006630 006643 006656 006669 006682 006695 006708 006721 006734 006747 006760 006773 006786 006799 006812 006825 006838 006851 006864 006877 006890 006903 006916 006929 006942 006955 006968 006981 006994 007007 007020 007033 007046 007059 007072 007085 007098 007111 007124 007137 007150 007163 007176 007189 007202 007215 007228 007241 007254 007267 007280 007293 007306 007319 007332 007345 007358 007371 007384 007397 007410 007423 007436 007449 007462 007475 007488 007501 007514 007527 007540 007553 007566 007579 007592 007605 007618 007631 007644 007657 007670 007683 007696 007709 007722 007735 007748 007761 007774 007787 007800 007813 007826 007839 007852 007865 007878 007891 007904 007917 007930 007943 007956 007969 007982 007995 008008 008021 008034 008047 008060 008073 008086 008099 008112 008125 008138 008151 008164 008177 008190 008203 008216 008229 008242 008255 008268 008281 008294 008307 008320 008333 008346 008359 008372 008385 008398 008411 008424 008437 008450 ...
Terms are written in six
digit strings.
The first 650 non-zero
terms of this sequence are listed above.
Compare with OEIS
sequence A008595.
|
Multiples of 14:
71,428,428,571,500,000
is a Sequence Number that produces a decimal expansion that counts by 14, or
shows the 14 times table.
1/71428428571500000 =
0.
000000 000000 000014 000028 000042 000056 000070 000084 000098 000112 000126 000140 000154 000168 000182 000196 000210 000224 000238 000252 000266 000280 000294 000308 000322 000336 000350 000364 000378 000392 000406 000420 000434 000448 000462 000476 000490 000504 000518 000532 000546 000560 000574 000588 000602 000616 000630 000644 000658 000672 000686 000700 000714 000728 000742 000756 000770 000784 000798 000812 000826 000840 000854 000868 000882 000896 000910 000924 000938 000952 000966 000980 000994 001008 001022 001036 001050 001064 001078 001092 001106 001120 ...
Terms are written in six
digit terms.
The first 80 non-zero
terms of this sequence are listed above.
Compare with OEIS
sequence A008596.
|
Multiples of 15:
66,666,533,333,400,000
is a Sequence Number that produces a decimal expansion that counts by 15, or
shows the 15 times table.
1/66666533333400000 =
0.
000000 000000 000015 000030 000045 000060 000075 000090 000105 000120 000135 000150 000165 000180 000195 000210 000225 000240 000255 000270 000285 000300 000315 000330 000345 000360 000375 000390 000405 000420 000435 000450 000465 000480 000495 000510 000525 000540 000555 000570 000585 000600 000615 000630 000645 000660 000675 000690 000705 000720 000735 000750 000765 000780 000795 000810 000825 000840 000855 000870 000885 000900 000915 000930 000945 000960 000975 000990 001005 001020 001035 001050 001065 001080 001095 001110 001125 001140 001155 001170 001185 001200 ...
Terms are written in six
digit strings.
The first 80 non-zero
terms of this sequence are listed above.
Compare with OEIS
sequence A008597.
|
Multiples of 16:
62,499,875,000,062,500
is a Sequence Number that produces a decimal expansion the counts by 16, or
shows the 16 times table.
1/62499875000062500 =
0.
000000 000000 000016 000032 000048 000064 000080 000096 000112 000128 000144 000160 000176 000192 000208 000224 000240 000256 000272 000288 000304 000320 000336 000352 000368 000384 000400 000416 000432 000448 000464 000480 000496 000512 000528 000544 000560 000576 000592 000608 000624 000640 000656 000672 000688 000704 000720 000736 000752 000768 000784 000800 000816 000832 000848 000864 000880 000896 000912 000928 000944 000960 000976 000992 001008 001024 001040 001056 001072 001088 001104 001120 001136 001152 001168 001184 001200 001216 001232 001248 001264 001280 ...
Terms are written in six
digit strings.
The first 80 non-zero
terms of this sequence are listed above.
Compare with OEIS
sequence A008598.
|
Multiples of 17:
5,882,352,941,176,469,411,764,705,882,353
is a Sequence Number that produces a decimal expansion that counts by 17, or
shows the 17 times table.
1/5882352941176469411764705882353
=
0.
0000000000000000 0000000000000017 0000000000000034 0000000000000051 0000000000000068 0000000000000085 0000000000000102 0000000000000119 0000000000000136 0000000000000153 0000000000000170 0000000000000187 0000000000000204 0000000000000221 0000000000000238 0000000000000255 0000000000000272 0000000000000289 0000000000000306 0000000000000323 0000000000000340 0000000000000357 0000000000000374 0000000000000391 0000000000000408 0000000000000425 0000000000000442 0000000000000459 0000000000000476 0000000000000493 ...
Terms are written in 16
digit strings.
The first 29 non-zero
terms in this sequence are listed above.
Compare with OEIS
sequence A008599.
|
Multiples of 18:
55,555,444,444,500,000
is a Sequence Number that produces a decimal expansion the counts by 18, or
shows the 18 times table.
1/55555444444500000 =
0.
000000 000000 000018 000036 000054 000072 000090 000108 000126 000144 000162 000180 000198 000216 000234 000252 000270 000288 000306 000324 000342 000360 000378 000396 000414 000432 000450 000468 000486 000504 000522 000540 000558 000576 000594 000612 000630 000648 000666 000684 000702 000720 000738 000756 000774 000792 000810 000828 000846 000864 000882 000900 000918 000936 000954 000972 000990 001008 001026 001044 001062 001080 001098 001116 001134 001152 001170 001188 001206 001224 001242 001260 001278 001296 001314 001332 001350 001368 001386 001404 001422 001440 ...
Terms are written in six
digit strings.
The first 80 non-zero
terms in this sequence are listed above.
Compare with OEIS
sequence A008600.
|
Multiples of 19:
52,631,578,947,368,420,947,368,421,052,631,579
is a Sequence Number that produces a decimal expansion that counts by 19, or
shows the 19 times table.
1/52631578947368420947368421052631579
=
0.
000000000000000000 000000000000000019 000000000000000038 000000000000000057 000000000000000076 000000000000000095 000000000000000114 000000000000000133 000000000000000152 000000000000000171 000000000000000190 000000000000000209 000000000000000228 000000000000000247 000000000000000266 000000000000000285 000000000000000304 000000000000000323 000000000000000342 000000000000000361 000000000000000380 000000000000000399 000000000000000418 000000000000000437 000000000000000456 000000000000000475 000000000000000494 000000000000000513 ...
Terms are written in 18
digit strings.
The first 27 non-zero
terms in this sequence are listed above.
Compare with OEIS
sequence A008601.
|
Multiples of 20:
49,999,900,000,050,000
is a Sequence Number that produces a decimal expansion the counts by 20, or
shows the 20 times table.
1/49999900000050000 =
0.
000000 000000 000020 000040 000060 000080 000100 000120 000140 000160 000180 000200 000220 000240 000260 000280 000300 000320 000340 000360 000380 000400 000420 000440 000460 000480 000500 000520 000540 000560 000580 000600 000620 000640 000660 000680 000700 000720 000740 000760 000780 000800 000820 000840 000860 000880 000900 000920 000940 000960 000980 001000 001020 001040 001060 001080 001100 001120 001140 001160 001180 001200 001220 001240 001260 001280 001300 001320 001340 001360 001380 001400 001420 001440 001460 001480 001500 001520 001540 001560 001580 001600 ...
Terms are written in six
digit strings.
The first 80 non-zero
terms in this sequence are listed above.
See OEIS sequence A0086
|
Multiples of 21:
47,618,952,381 is a
Sequence Number that produces a decimal expansion the counts by 21, or shows
the 21 times table.
1/47618952381 =
0.
000000 000021 000042 000063 000084 000105 000126 000147 000168 000189 000210 000231 000252 000273 000294 000315 000336 000357 000378 000399 000420 000441 000462 000483 000504 000525 000546 000567 000588 000609 000630 000651 000672 000693 000714 000735 000756 000777 000798 000819 000840 000861 000882 000903 000924 000945 000966 000987 001008 001029 001050 001071 001092 001113 001134 001155 001176 001197 001218 001239 001260 001281 001302 001323 001344 001365 001386 001407 001428 001449 001470 001491 001512 001533 001554 001575 001596 001617 001638 001659 001680 ...
This sequence is a
repeating decimal with a period of 285,714.
Terms are written in six
digit strings.
The first 80 non-zero
terms in this sequence are listed above.
Compare with OEIS
sequence A008603.
|
Multiples of 22:
45,454,454,545,500,000
is a Sequence Number that produces a decimal expansion the counts by 22, or
shows the 22 times table.
1/45454454545500000 =
0.
000000 000000 000022 000044 000066 000088 000110 000132 000154 000176 000198 000220 000242 000264 000286 000308 000330 000352 000374 000396 000418 000440 000462 000484 000506 000528 000550 000572 000594 000616 000638 000660 000682 000704 000726 000748 000770 000792 000814 000836 000858 000880 000902 000924 000946 000968 000990 001012 001034 001056 001078 001100 001122 001144 001166 001188 001210 001232 001254 001276 001298 001320 001342 001364 001386 001408 001430 001452 001474 001496 001518 001540 001562 001584 001606 001628 001650 001672 001694 001716 001738 001760 ...
Terms are written in six
digit strings.
The first 80 non-zero
terms of this sequence are listed above.
Compare with OEIS
sequence A008604.
|
Multiples of 23:
4,347,826,086,956,521,739,129,565,217,391,304,347,826,087
is a Sequence Number that produces a decimal expansion the counts by 23, or shows the 23 times table.
1/4347826086956521739129565217391304347826087
=
0.
0000000000000000000000 0000000000000000000023 0000000000000000000046 0000000000000000000069 0000000000000000000092 0000000000000000000115 0000000000000000000138 0000000000000000000161 0000000000000000000184 0000000000000000000207 0000000000000000000230 0000000000000000000253 0000000000000000000276 0000000000000000000299 0000000000000000000322 0000000000000000000345 0000000000000000000368 0000000000000000000391 0000000000000000000414 0000000000000000000437 0000000000000000000460 0000000000000000000483 0000000000000000000506 0000000000000000000529 0000000000000000000552 0000000000000000000575 0000000000000000000598 0000000000000000000621 0000000000000000000644 0000000000000000000667 0000000000000000000690 0000000000000000000713 0000000000000000000736 0000000000000000000759 0000000000000000000782 0000000000000000000805 0000000000000000000828 0000000000000000000851 0000000000000000000874 0000000000000000000897 0000000000000000000920 0000000000000000000943 0000000000000000000966 0000000000000000000989 0000000000000000001012 0000000000000000001035 0000000000000000001058 0000000000000000001081 0000000000000000001104 0000000000000000001127 0000000000000000001150 0000000000000000001173 0000000000000000001196 0000000000000000001219 0000000000000000001242 0000000000000000001265 0000000000000000001288 0000000000000000001311 0000000000000000001334 0000000000000000001357 0000000000000000001380 0000000000000000001403 0000000000000000001426 …
Terms are written in 22
digit strings.
The first 62 non-zero
terms in this sequence are listed above.
Compare with OEIS
sequence A008605.
|
Multiples of 24:
41,666,583,333,375,000
is a Sequence Number that produces a decimal expansion the counts by 24, or
shows the 24 times table.
1/41666583333375000 =
0.
000000 000000 000024 000048 000072 000096 000120 000144 000168 000192 000216 000240 000264 000288 000312 000336 000360 000384 000408 000432 000456 000480 000504 000528 000552 000576 000600 000624 000648 000672 000696 000720 000744 000768 000792 000816 000840 000864 000888 000912 000936 000960 000984 001008 001032 001056 001080 001104 001128 001152 001176 001200 001224 001248 001272 001296 001320 001344 001368 001392 001416 001440 001464 001488 001512 001536 001560 001584 001608 001632 001656 001680 001704 001728 001752 001776 001800 001824 001848 001872 001896 001920 ...
This sequence is a
repeating decimal with a period of 1,999,998.
Terms are written in six
digit strings.
The first 62 non-zero
terms of this sequence are listed above.
Compare with OEIS
sequence A008606.
|
Multiples of 25:
39,999,920,000,040,000
is a Sequence Number that produces a decimal expansion the counts by 25, or
shows the 25 times table.
1/39999920000040000 =
0.
000000 000000 000025 000050 000075 000100 000125 000150 000175 000200 000225 000250 000275 000300 000325 000350 000375 000400 000425 000450 000475 000500 000525 000550 000575 000600 000625 000650 000675 000700 000725 000750 000775 000800 000825 000850 000875 000900 000925 000950 000975 001000 001025 001050 001075 001100 001125 001150 001175 001200 001225 001250 001275 001300 001325 001350 001375 001400 001425 001450 001475 001500 001525 001550 001575 001600 001625 001650 001675 001700 001725 001750 001775 001800 001825 001850 001875 001900 001925 001950 001975 002000 ...
Terms are listed in six
digit strings.
The first 80 non-zero
terms in this sequence are listed above.
Compare with OEIS
sequence A008607.
|
Multiples of 26:
38,461,461,538,500,000
is a Sequence Number that produces a decimal expansion the counts by 26, or
shows the 26 times table.
1/38461461538500000 =
0.
000000 000000 000026 000052 000078 000104 000130 000156 000182 000208 000234 000260 000286 000312 000338 000364 000390 000416 000442 000468 000494 000520 000546 000572 000598 000624 000650 000676 000702 000728 000754 000780 000806 000832 000858 000884 000910 000936 000962 000988 001014 001040 001066 001092 001118 001144 001170 001196 001222 001248 001274 001300 001326 001352 001378 001404 001430 001456 001482 001508 001534 001560 001586 001612 001638 001664 001690 001716 001742 001768 001794 001820 001846 001872 001898 001924 001950 001976 002002 002028 002054 002080 ...
This sequence is a
repeating decimal with a period of 461,538.
Terms are listed in six
digit strings.
The first 80 non-zero
terms of this sequence are listed above.
Compare with OEIS
sequence A292994.
|
Multiples of 27:
37,036,962,963 is a
Sequence Number that produces a decimal expansion the counts by 27, or shows
the 27 times table.
1/37036962963 =
0.
000000 000027 000054 000081 000108 000135 000162 000189 000216 000243 000270 000297 000324 000351 000378 000405 000432 000459 000486 000513 000540 000567 000594 000621 000648 000675 000702 000729 000756 000783 000810 000837 000864 000891 000918 000945 000972 000999 001026 001053 001080 001107 001134 001161 001188 001215 001242 001269 001296 001323 001350 001377 001404 001431 001458 001485 001512 001539 001566 001593 001620 001647 001674 001701 001728 001755 001782 001809 001836 001863 001890 001917 001944 001971 001998 002025 002052 002079 002106 002133 002160 ...
This sequence is a
repeating decimal with a period of 222,222.
Terms are written in six
digit strings.
The first 80 non-zero
terms of this sequence are listed above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 28:
35,714,214,285,750,000
is a Sequence Number that produces a decimal expansion the counts by 28, or
shows the 28 times table.
1/35714214285750000 =
0.
000000 000000 000028 000056 000084 000112 000140 000168 000196 000224 000252 000280 000308 000336 000364 000392 000420 000448 000476 000504 000532 000560 000588 000616 000644 000672 000700 000728 000756 000784 000812 000840 000868 000896 000924 000952 000980 001008 001036 001064 001092 001120 001148 001176 001204 001232 001260 001288 001316 001344 001372 001400 001428 001456 001484 001512 001540 001568 001596 001624 001652 001680 001708 001736 001764 001792 001820 001848 001876 001904 001932 001960 001988 002016 002044 002072 002100 002128 002156 002184 002212 002240 …
This sequence is a
repeating decimal with a period of 857,142.
Terms are written in six
digit strings.
The first 80 non-zero
terms of this sequence are listed above.
Compare with OEIS
sequence A135628.
|
Multiples of 29:
3,448,275,862,068,965,517,241,379,309,655,172,413,793,103,
448,275,862,069 is a Sequence Number that produces a decimal expansion the counts by 29, or shows the 29 times table.
1/3448275862068965517241379309655172413793103448275
862069 =
0.
0000000000000000000000000000 0000000000000000000000000029 0000000000000000000000000058 0000000000000000000000000087 0000000000000000000000000116 0000000000000000000000000145 0000000000000000000000000174 0000000000000000000000000203 0000000000000000000000000232 0000000000000000000000000261 0000000000000000000000000290 0000000000000000000000000319 0000000000000000000000000348 0000000000000000000000000377 0000000000000000000000000406 0000000000000000000000000435 0000000000000000000000000464 0000000000000000000000000493 0000000000000000000000000522 ...
Terms are written in 28
digit strings.
The first 18 non-zero
terms in this sequence are listed above.
Compare with OEIS
sequence A195819.
|
Multiples of 30:
33,333,266,666,700,000
is a Sequence Number that produces a decimal expansion the counts by 30, or
shows the 30 times table.
1/33333266666700000 =
0.
000000 000000 000030 000060 000090 000120 000150 000180 000210 000240 000270 000300 000330 000360 000390 000420 000450 000480 000510 000540 000570 000600 000630 000660 000690 000720 000750 000780 000810 000840 000870 000900 000930 000960 000990 001020 001050 001080 001110 001140 001170 001200 001230 001260 001290 001320 001350 001380 001410 001440 001470 001500 001530 001560 001590 001620 001650 001680 001710 001740 001770 001800 001830 001860 001890 001920 001950 001980 002010 002040 002070 002100 002130 002160 002190 002220 002250 002280 002310 002340 002370 002400 ...
This sequence is a
repeating decimal with a period of 1,999,998.
The first 80 non-zero
terms of this sequence are listed above.
All terms listed above
are accurate.
Compare with OEIS
sequence A249674.
|
Multiples of 31:
32,258,064,516,128,967,741,935,483,871
is a Sequence Number that produces a decimal expansion the counts by 31, or
shows the 31 times table.
1/32258064516128967741935483871
=
0.
000000000000000 000000000000031 000000000000062 000000000000093 000000000000124 000000000000155 000000000000186 000000000000217 000000000000248 000000000000279 000000000000310 000000000000341 000000000000372 000000000000403 000000000000434 000000000000465 000000000000496 000000000000527 000000000000558 000000000000589 000000000000620 000000000000651 000000000000682 000000000000713 000000000000744 000000000000775 000000000000806 000000000000837 000000000000868 000000000000899 000000000000930 000000000000961 000000000000992 ...
Terms are written in 15
digit strings.
The first 32 non-zero
terms of this sequence are listed above.
Compare with OEIS
sequence A135631.
|
Multiples of 32:
31,249,937,500,031,250
is a Sequence Number that produces a decimal expansion the counts by 32, or
shows the 32 times table.
1/31249937500031250 =
0.
000000 000000 000032 000064 000096 000128 000160 000192 000224 000256 000288 000320 000352 000384 000416 000448 000480 000512 000544 000576 000608 000640 000672 000704 000736 000768 000800 000832 000864 000896 000928 000960 000992 001024 001056 001088 001120 001152 001184 001216 001248 001280 001312 001344 001376 001408 001440 001472 001504 001536 001568 001600 001632 001664 001696 001728 001760 001792 001824 001856 001888 001920 001952 001984 002016 002048 002080 002112 002144 002176 002208 002240 002272 002304 002336 002368 002400 002432 002464 002496 002528 002560 ...
Terms are written in six
digit strings.
The first 80 non-zero
terms of this sequence are listed above.
Compare with OEIS
sequence A174312.
|
Multiples of 33:
30,302,969,697 is a
Sequence Number that produces a decimal expansion the counts by 33, or shows
the 33 times table.
1/30302969697 =
0.
000000 000033 000066 000099 000132 000165 000198 000231 000264 000297 000330 000363 000396 000429 000462 000495 000528 000561 000594 000627 000660 000693 000726 000759 000792 000825 000858 000891 000924 000957 000990 001023 001056 001089 001122 001155 001188 001221 001254 001287 001320 001353 001386 001419 001452 001485 001518 001551 001584 001617 001650 001683 001716 001749 001782 001815 001848 001881 001914 001947 001980 002013 002046 002079 002112 002145 002178 002211 002244 002277 002310 002343 002376 002409 002442 002475 002508 002541 002574 002607 002640 ...
This sequence is a
repeating decimal with a period of 181,818.
Terms are written in six
digit terms.
The first 80 non-zero
terms in the sequence are listed above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 34:
2,941,176,470,588,234,705,882,352,941,176,500,000,000,
000,000 is a Sequence Number that produces a decimal expansion the counts by 34, or shows the 34 times table.
1/2941176470588234705882352941176500000000000000
=
0.
0000000000000000 0000000000000000 0000000000000034 0000000000000068 0000000000000102 0000000000000136 0000000000000170 0000000000000204 0000000000000238 0000000000000272 0000000000000306 0000000000000340 0000000000000374 0000000000000408 0000000000000442 0000000000000476 0000000000000510 0000000000000544 0000000000000578 0000000000000612 0000000000000646 0000000000000680 0000000000000714 0000000000000748 0000000000000782 0000000000000816 0000000000000850 0000000000000884 0000000000000918 0000000000000952 0000000000000986 0000000000001020 ...
Terms are listed in 16
digit strings.
The first 30 non-zero
terms of this sequence are listed above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 35:
28,571,371,428,600,000
is a Sequence Number that produces a decimal expansion the counts by 35, or
shows the 35 times table.
1/28571371428600000 =
0.
000000 000000 000035 000070 000105 000140 000175 000210 000245 000280 000315 000350 000385 000420 000455 000490 000525 000560 000595 000630 000665 000700 000735 000770 000805 000840 000875 000910 000945 000980 001015 001050 001085 001120 001155 001190 001225 001260 001295 001330 001365 001400 001435 001470 001505 001540 001575 001610 001645 001680 001715 001750 001785 001820 001855 001890 001925 001960 001995 002030 002065 002100 002135 002170 002205 002240 002275 002310 002345 002380 002415 002450 002485 002520 002555 002590 002625 002660 002695 002730 002765 002800 ...
This sequence is a
repeating decimal with a period of 857,142.
Terms are written in six
digit strings.
The first 80 non-zero
terms in the sequence are shown above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 36:
27,777,722,222,250,000
is a Sequence Number that produces a decimal expansion the counts by 36, or
shows the 36 times table.
1/27777722222250000 =
0.
000000 000000 000036 000072 000108 000144 000180 000216 000252 000288 000324 000360 000396 000432 000468 000504 000540 000576 000612 000648 000684 000720 000756 000792 000828 000864 000900 000936 000972 001008 001044 001080 001116 001152 001188 001224 001260 001296 001332 001368 001404 001440 001476 001512 001548 001584 001620 001656 001692 001728 001764 001800 001836 001872 001908 001944 001980 002016 002052 002088 002124 002160 002196 002232 002268 002304 002340 002376 002412 002448 002484 002520 002556 002592 002628 002664 002700 002736 002772 002808 002844 002880 ...
This sequence is a
repeating decimal with a period of 666,666.
Terms are written in six
digit strings.
The first 80 non-zero
terms are listed above.
Compare with OEIS
sequence A044102.
|
Multiples of 37:
27,026,972,973 is a
Sequence Number that produces a decimal expansion the counts by 37, or shows
the 37 times table.
1/27026972973 =
0.
000000 000037 000074 000111 000148 000185 000222 000259 000296 000333 000370 000407 000444 000481 000518 000555 000592 000629 000666 000703 000740 000777 000814 000851 000888 000925 000962 000999 001036 001073 001110 001147 001184 001221 001258 001295 001332 001369 001406 001443 001480 001517 001554 001591 001628 001665 001702 001739 001776 001813 001850 001887 001924 001961 001998 002035 002072 002109 002146 002183 002220 002257 002294 002331 002368 002405 002442 002479 002516 002553 002590 002627 002664 002701 002738 002775 002812 002849 002886 002923 002960 ...
This sequence is a
repeating decimal with a period of 162,162.
Terms are written in six
digit strings.
The first 80 non-zero
terms are listed above.
Compare with OEIS
sequence A85959.
|
Multiples of 38:
26,315,789,473,684,210,473,684,210,526,315,789,500,000,
000,000,000,000 is a Sequence Number that produces a decimal expansion the counts by 38, or shows the 38 times table.
1/26315789473684210473684210526315789500000000000
000000 =
0.
000000000000000000 000000000000000000 000000000000000038 000000000000000076 000000000000000114 000000000000000152 000000000000000190 000000000000000228 000000000000000266 000000000000000304 000000000000000342 000000000000000380 000000000000000418 000000000000000456 000000000000000494 000000000000000532 000000000000000570 000000000000000608 000000000000000646 000000000000000684 000000000000000722 000000000000000760 000000000000000798 000000000000000836 000000000000000874 000000000000000912 000000000000000950 000000000000000988 000000000000001026 ...
Terms are written in 18
digit strings.
The first 27 non-zero
terms are listed above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 39:
25,640,974,359 is a
Sequence Number that produces a decimal expansion the counts by 39, or shows
the 39 times table.
1/25640974359 =
0.
000000 000039 000078 000117 000156 000195 000234 000273 000312 000351 000390 000429 000468 000507 000546 000585 000624 000663 000702 000741 000780 000819 000858 000897 000936 000975 001014 001053 001092 001131 001170 001209 001248 001287 001326 001365 001404 001443 001482 001521 001560 001599 001638 001677 001716 001755 001794 001833 001872 001911 001950 001989 002028 002067 002106 002145 002184 002223 002262 002301 002340 002379 002418 002457 002496 002535 002574 002613 002652 002691 002730 002769 002808 002847 002886 002925 002964 003003 003042 003081 003120 ...
This sequence is a
repeating decimal with a period of 153,846.
Terms are written in six
digit strings.
The first 80 non-zero
terms of the sequence are listed above.
This sequence is not
listed in the OEIS collection.
|
25,640,974,359 is not
the only Sequence Number that produces the 39’s multiplication table. In fact most of the Sequence Numbers listed
in this document have other numbers that will produce similar results, but
using longer or shorter strings to show their results.
25,641,025,640,974,358,974,359
is another Sequence Number that produces the 39’s multiplication table. See the results shown below.
1/25641025640974358974359
=
0.
000000000000 000000000039 000000000078 000000000117 000000000156 000000000195 000000000234 000000000273 000000000312 000000000351 000000000390 000000000429 000000000468 000000000507 000000000546 000000000585 000000000624 000000000663 000000000702 000000000741 000000000780 000000000819 000000000858 000000000897 000000000936 000000000975 000000001014 000000001053 000000001092 000000001131 000000001170 000000001209 000000001248 000000001287 000000001326 000000001365 000000001404 000000001443 000000001482 000000001521 000000001560 000000001599 000000001638 000000001677 000000001716 000000001755 000000001794 000000001833 000000001872 000000001911 000000001950 000000001989 000000002028 000000002067 000000002106 000000002145 000000002184 000000002223 000000002262 000000002301 000000002340 000000002379 000000002418 000000002457 000000002496 000000002535 000000002574 000000002613 000000002652 000000002691 000000002730 000000002769 000000002808 000000002847 000000002886 000000002925 000000002964 000000003003 000000003042 000000003081 000000003120 ...
Terms are written in 12
digit strings.
The first 80 non-zero
terms of this sequence are accurately shown above. With additional computing power this list
continues much further, but I have not yet been able to show how far the
sequence continues before the pattern breaks down.
This sequence is not
listed in the OEIS collection.
|
Multiples of 40:
24,999,950,000,025,000
is a Sequence Number that produces a decimal expansion the counts by 40, or
shows the 40 times table.
1/24999950000025000 =
0.
000000 000000 000040 000080 000120 000160 000200 000240 000280 000320 000360 000400 000440 000480 000520 000560 000600 000640 000680 000720 000760 000800 000840 000880 000920 000960 001000 001040 001080 001120 001160 001200 001240 001280 001320 001360 001400 001440 001480 001520 001560 001600 001640 001680 001720 001760 001800 001840 001880 001920 001960 002000 002040 002080 002120 002160 002200 002240 002280 002320 002360 002400 002440 002480 002520 002560 002600 002640 002680 002720 002760 002800 002840 002880 002920 002960 003000 003040 003080 003120 003160 003200 ...
Terms are written in six
digit strings.
The first 80 non-zero
terms of this sequence are shown above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 41:
2,439,024,389,756,097,561
is a Sequence Number that produces a decimal expansion the counts by 41, or
shows the 41 times table.
1/2439024389756097561 =
0.
0000000000 0000000041 0000000082 0000000123 0000000164 0000000205 0000000246 0000000287 0000000328 0000000369 0000000410 0000000451 0000000492 0000000533 0000000574 0000000615 0000000656 0000000697 0000000738 0000000779 0000000820 0000000861 0000000902 0000000943 0000000984 0000001025 0000001066 0000001107 0000001148 0000001189 0000001230 0000001271 0000001312 0000001353 0000001394 0000001435 0000001476 0000001517 0000001558 0000001599 0000001640 0000001681 0000001722 0000001763 0000001804 0000001845 0000001886 0000001927 0000001968 ...
Terms are written in 10
digit strings.
The first 48 non-zero
terms of this sequence are listed above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 42:
23,809,476,190,500,000
is a Sequence Number that produces a decimal expansion the counts by 42, or
shows the 42 times table.
1/23809476190500000 =
0.
000000 000000 000042..000084 000126 000168 000210 000252 000294 000336 000378 000420 000462 000504 000546 000588 000630 000672 000714 000756 000798 000840 000882 000924 000966 001008 001050 001092 001134 001176 001218 001260 001302 001344 001386 001428 001470 001512 001554 001596 001638 001680 001722 001764 001806 001848 001890 001932 001974 002016 002058 002100 002142 002184 002226 002268 002310 002352 002394 002436 002478 002520 002562 002604 002646 002688 002730 002772 002814 002856 002898 002940 002982 003024 003066 003108 003150 003192 003234 003276 003318 003360 ...
Terms are written in six
digit strings.
The first 80 non-zero
terms of this sequence are listed above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 43:
23,255,813,953,488,372,092,976,744,186,046,511,627,907
is a Sequence Number that produces a decimal expansion the counts by 43, or
shows the 43 times table.
1/23255813953488372092976744186046511627907
=
0.
000000000000000000000 000000000000000000043 000000000000000000086 000000000000000000129 000000000000000000172 000000000000000000215 000000000000000000258 000000000000000000301 000000000000000000344 000000000000000000387 000000000000000000430 000000000000000000473 000000000000000000516 000000000000000000559 000000000000000000602 000000000000000000645 000000000000000000688 000000000000000000731 000000000000000000774 000000000000000000817 000000000000000000860 000000000000000000903 000000000000000000946 000000000000000000989 …
Terms are written in 21
digit strings.
The first 23 non-zero
terms are listed above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 44:
22,727,227,272,750,000
is a Sequence Number that produces a decimal expansion the counts by 44, or
shows the 44 times table.
1/22727227272750000 =
0.
000000 000000 000044 000088 000132 000176 000220 000264 000308 000352 000396 000440 000484 000528 000572 000616 000660 000704 000748 000792 000836 000880 000924 000968 001012 001056 001100 001144 001188 001232 001276 001320 001364 001408 001452 001496 001540 001584 001628 001672 001716 001760 001804 001848 001892 001936 001980 002024 002068 002112 002156 002200 002244 002288 002332 002376 002420 002464 002508 002552 002596 002640 002684 002728 002772 002816 002860 002904 002948 002992 003036 003080 003124 003168 003212 003256 003300 003344 003388 003432 003476 003520 …
Terms are written in six
digit strings.
The first 80 non-zero terms
are listed above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 45:
22,222,177,777,800,000
is a Sequence Number that produces a decimal expansion the counts by 45, or
shows the 45 times table.
1/22222177777800000 =
0.
000000 000000 000045 000090 000135 000180 000225 000270 000315 000360 000405 000450 000495 000540 000585 000630 000675 000720 000765 000810 000855 000900 000945 000990 001035 001080 001125 001170 001215 001260 001305 001350 001395 001440 001485 001530 001575 001620 001665 001710 001755 001800 001845 001890 001935 001980 002025 002070 002115 002160 002205 002250 002295 002340 002385 002430 002475 002520 002565 002610 002655 002700 002745 002790 002835 002880 002925 002970 003015 003060 003105 003150 003195 003240 003285 003330 003375 003420 003465 003510 003555 003600 …
Terms are written in six
digit strings.
The first 80 non-zero
terms of this sequence are listed above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 46:
21,739,130,434,782,608,695,647,826,086,956,521,739,130,
435,000,000,000 is a Sequence Number that produces a decimal expansion the counts by 46, or shows the 46 times table.
1/2173913043478260869564782608695652173913043500
00000000000000000000 =
0.
0000000000000000000000 0000000000000000000000 0000000000000000000046 0000000000000000000092 0000000000000000000138 0000000000000000000184 0000000000000000000230 0000000000000000000276 0000000000000000000322 0000000000000000000368 0000000000000000000414 0000000000000000000460 0000000000000000000506 0000000000000000000552 0000000000000000000598 0000000000000000000644 0000000000000000000690 0000000000000000000736 0000000000000000000782 0000000000000000000828 0000000000000000000874 0000000000000000000920 0000000000000000000966 0000000000000000001012 0000000000000000001058 0000000000000000001104 0000000000000000001150 0000000000000000001196 0000000000000000001242 0000000000000000001288 0000000000000000001334 0000000000000000001380 0000000000000000001426 0000000000000000001472 0000000000000000001518 0000000000000000001564 0000000000000000001610 0000000000000000001656 0000000000000000001702 0000000000000000001748 0000000000000000001794 0000000000000000001840 0000000000000000001886 0000000000000000001932 0000000000000000001978 0000000000000000002024 …
Terms are written in 22
digit strings.
The first 44 non-zero
terms of this sequence are listed above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 47:
2,127,659,574,468,085,106,382,978,723,404,255,319,148,936,169,787,234,042,553,191,489,361,702,127,659,574,468,085,106,383
is a Sequence Number that produces a decimal expansion the counts by 47, or
shows the 47 times table.
1/21276595744680851063829787234042553191489361697872
34042553191489361702127659574468085106383 =
0.
0000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000047 0000000000000000000000000000000000000000000094 0000000000000000000000000000000000000000000141 0000000000000000000000000000000000000000000188 0000000000000000000000000000000000000000000235 0000000000000000000000000000000000000000000282 0000000000000000000000000000000000000000000329 0000000000000000000000000000000000000000000376 0000000000000000000000000000000000000000000423 0000000000000000000000000000000000000000000470 …
Terms are written in 46
digit strings.
The first 10 non-zero
terms are listed above.
This sequence is not
listed in the OEIS collection.
|
Just a thought! If these terms are being written in 46
digit strings then these terms might be accurate up to (or even beyond)
4,700,000,000,000,000,000,000,000,000,000,000,000,000,000,000.
If it is accurate up to
the number shown above that means that we would have the 47 times table with
100,000,000,000,000,000,000,000,000,000,000,000,000,000,000 accurate terms,
each written with 46 digits.
If that is true that we
would have 4,600,000,000,000,000,000,000,000,000,000,000,000,000,000,000
accurate digits after the decimal point!
That is more than four quattuordecillion accurate digits.
I have to laugh at my
early training as an engineer struggling to get accuracy of four digits past
the decimal point. Obtaining eight
digit accuracy was impossible because the numbers we were using were not
known with eight digit accuracy.
I even have to laugh at
my fellow mathematicians and computer scientists who endeavor to calculate
pi, or e, or phi to a trillion digits.
But consider the
Sequence Number I used to calculate this sequence. 2,127,659,574,468,085,106,382,978,723,404,255,319,148,936,169,787,234,042,553,191,489,361,702,127,659,574,468,085,106,383. It is an integer that is 91 digits long,
but I know that every term after the decimal point is a zero. I know that the next million digits after
the decimal point are all zeros.
This is a simple long
division problem. The number we start
with is kind of big, but the process is still the same. You need a big stack of paper (actually
probably more paper that we have on planet Earth), and you will probably wear
out a bunch of pencils, but if you have the time and determination you can do
this calculation by hand with less that a high school education.
I could increase both
the number of digits per term and the number of accurate terms by using the
Sequence Number: 212,765,957,446,808,510,638,297,872,340,425,531,914,893,
617,021,276,595,744,680,851,063,829,787,234,042,553,191, 489,361,697,872,340,425,531,914,893,617,021,276,595,744, 680,851,063,829,787,234,042,553,191,489,361,702,127,659, 574,468,085,106,383.
The inverse of this
number is:
1/212765957446808510638297872340425531914893617021
27659574468085106382978723404255319148936169787234 04255319148936170212765957446808510638297872340425 53191489361702127659574468085106383 =
0.
00000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000047 00000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000094 00000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000141 000000000000000000000000000000000000000000000000...
(Well, you get the
idea.)
I am not a computer
scientist, but if any of you are, and you are looking for a challenge I sure
could use the help.
|
Multiples of 48:
20,833,291,666,687,500
is a Sequence Number that produces a decimal expansion the counts by 48, or
shows the 48 times table.
1/20833291666687500 =
0.
000000 000000 000048 000096 000144 000192 000240 000288 000336 000384 000432 000480 000528 000576 000624 000672 000720 000768 000816 000864 000912 000960 001008 001056 001104 001152 001200 001248 001296 001344 001392 001440 001488 001536 001584 001632 001680 001728 001776 001824 001872 001920 001968 002016 002064 002112 002160 002208 002256 002304 002352 002400 002448 002496 002544 002592 002640 002688 002736 002784 002832 002880 002928 002976 003024 003072 003120 003168 003216 003264 003312 003360 003408 003456 003504 003552 003600 003648 003696 003744 003792 003840 ...
Terms are written in six
digit strings.
The first 80 non-zero
terms of this sequence are listed above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 49:
20,408,122,449,000,000
is a Sequence Number that produces a decimal expansion the counts by 49, or
shows the 49 times table.
1/20408122449000000 =
0.
000000 000049 000098 000147 000196 000245 000294 000343 000392 000441 000490 000539 000588 000637 000686 000735 000784 000833 000882 000931 000980 001029 001078 001127 001176 001225 001274 001323 001372 001421 001470 001519 001568 001617 001666 001715 001764 001813 001862 001911 001960 002009 002058 002107 002156 002205 002254 002303 002352 002401 002450 002499 002548 002597 002646 002695 002744 002793 002842 002891 002940 002989 003038 003087 003136 003185 003234 003283 003332 003381 003430 003479 003528 003577 003626 003675 003724 003773 003822 003871 003920 ...
Terms are written in six
digit strings.
The first 80 non-zero
terms of this sequence are listed above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 50:
19,999,960,000,020,000
is a Sequence Number that produces a decimal expansion the counts by 50, or
shows the 50 times table.
1/19999960000020000 =
0.
000000 000000 000050 000100 000150 000200 000250 000300 000350 000400 000450 000500 000550 000600 000650 000700 000750 000800 000850 000900 000950 001000 001050 001100 001150 001200 001250 001300 001350 001400 001450 001500 001550 001600 001650 001700 001750 001800 001850 001900 001950 002000 002050 002100 002150 002200 002250 002300 002350 002400 002450 002500 002550 002600 002650 002700 002750 002800 002850 002900 002950 003000 003050 003100 003150 003200 003250 003300 003350 003400 003450 003500 003550 003600 003650 003700 003750 003800 003850 003900 003950 004000 ...
Terms are written in six
digit terms.
The first 80 non-zero
terms of this sequence are listed above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 51:
1,960,784,313,725,489,803,921,568,627,451
is a Sequence Number that produces a decimal expansion the counts by 51, or
shows the 51 times table.
1/1960784313725489803921568627451
=
0.
0000000000000000 0000000000000051 0000000000000102 0000000000000153 0000000000000204 0000000000000255 0000000000000306 0000000000000357 0000000000000408 0000000000000459 0000000000000510 0000000000000561 0000000000000612 0000000000000663 0000000000000714 0000000000000765 0000000000000816 0000000000000867 0000000000000918 0000000000000969 0000000000001020 0000000000001071 0000000000001122 0000000000001173 0000000000001224 0000000000001275 0000000000001326 0000000000001377 0000000000001428 0000000000001479 0000000000001530 0000000000001581 0000000000001632 0000000000001683 0000000000001734 0000000000001785 0000000000001836 0000000000001887 0000000000001938 0000000000001989 0000000000002040 0000000000002091 0000000000002142 0000000000002193 0000000000002244 0000000000002295 0000000000002346 0000000000002397 0000000000002448 0000000000002499 0000000000002550 0000000000002601 0000000000002652 0000000000002703 0000000000002754 0000000000002805 0000000000002856 0000000000002907 0000000000002958 0000000000003009 0000000000003060 0000000000003111 ...
Terms are written in 16
digit strings.
The first 61 non-zero
terms of this sequence are shown above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 52:
19,230,730,769,250,000 is
a Sequence Number that produces a decimal expansion the counts by 52, or
shows the 52 times table.
1/19230730769250000 =
0.
000000 000000 000052 000104 000156 000208 000260 000312 000364 000416 000468 000520 000572 000624 000676 000728 000780 000832 000884 000936 000988 001040 001092 001144 001196 001248 001300 001352 001404 001456 001508 001560 001612 001664 001716 001768 001820 001872 001924 001976 002028 002080 002132 002184 002236 002288 002340 002392 002444 002496 002548 002600 002652 002704 002756 002808 002860 002912 002964 003016 003068 003120 003172 003224 003276 003328 003380 003432 003484 003536 003588 003640 003692 003744 003796 003848 003900 003952 004004 004056 004108 004160 ...
Terms are written in six
digit strings.
The first 80 non-zero
terms of the sequence are shown above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 53:
188,679,245,283,018,867,924,528,298,113,207,547,169,
811,320,754,717 is a Sequence Number that produces a decimal expansion the counts by 53, or shows the 53 times table.
1/18867924528301886792452829811320754716981132
0754717 =
0.
00000000000000000000000000 00000000000000000000000053 00000000000000000000000106 00000000000000000000000159 00000000000000000000000212 00000000000000000000000265 00000000000000000000000318 00000000000000000000000371 00000000000000000000000424 00000000000000000000000477 00000000000000000000000530 ...
Terms are written in 26
digit strings.
The first 10 non-zero
terms of this sequence are listed above.
This sequence is not
found in the OEIS collection.
|
Multiples of 54:
18,518,481,481,500,000 is
a Sequence Number that produces a decimal expansion the counts by 54, or
shows the 54 times table.
1/18518481481500000 =
0.
000000 000000 000054 000108 000162 000216 000270 000324 000378 000432 000486 000540 000594 000648 000702 000756 000810 000864 000918 000972 001026 001080 001134 001188 001242 001296 001350 001404 001458 001512 001566 001620 001674 001728 001782 001836 001890 001944 001998 002052 002106 002160 002214 002268 002322 002376 002430 002484 002538 002592 002646 002700 002754 002808 002862 002916 002970 003024 003078 003132 003186 003240 003294 003348 003402 003456 003510 003564 003618 003672 003726 003780 003834 003888 003942 003996 004050 004104 004158 004212 004266 004320 ...
Terms are written in six
digit strings.
The first 80 non-zero
terms of the sequence are shown above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 55:
18,181,781,818,200,000 is
a Sequence Number that produces a decimal expansion the counts by 55, or
shows the 55 times tables:
1/18181781818200000 =
0.
000000 000000 000055 000110 000165 000220 000275 000330 000385 000440 000495 000550 000605 000660 000715 000770 000825 000880 000935 000990 001045 001100 001155 001210 001265 001320 001375 001430 001485 001540 001595 001650 001705 001760 001815 001870 001925 001980 002035 002090 002145 002200 002255 002310 002365 002420 002475 002530 002585 002640 002695 002750 002805 002860 002915 002970 003025 003080 003135 003190 003245 003300 003355 003410 003465 003520 003575 003630 003685 003740 003795 003850 003905 003960 004015 004070 004125 004180 004235 004290 004345 004400 ...
Terms are written in six
digit strings.
The first 80 non-zero
terms of this sequence are shown above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 56:
17,857,107,142,875,000 is
a Sequence Number that produces a decimal expansion the counts by 56, or
shows the 56 times table.
The inverse of this
number is:
1/17857107142875000 =
0.
000000 000000 000056 000112 000168 000224 000280 000336 000392 000448 000504 000560 000616 000672 000728 000784 000840 000896 000952 001008 001064 001120 001176 001232 001288 001344 001400 001456 001512 001568 001624 001680 001736 001792 001848 001904 001960 002016 002072 002128 002184 002240 002296 002352 002408 002464 002520 002576 002632 002688 002744 002800 002856 002912 002968 003024 003080 003136 003192 003248 003304 003360 003416 003472 003528 003584 003640 003696 003752 003808 003864 003920 003976 004032 004088 004144 004200 004256 004312 004368 004424 004480 ...
Terms are written in six
digit strings.
The first 80 non-zero
terms of this sequence are shown above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 57:
17,543,859,649,122,806,982,456,140,350,877,193
is a Sequence Number that produces a decimal expansion the counts by 57, or
shows the 57 times table.
1/17543859649122806982456140350877193
=
0.
000000000000000000 000000000000000057 000000000000000114 000000000000000171 000000000000000228 000000000000000285 000000000000000342 000000000000000399 000000000000000456 000000000000000513 000000000000000570 000000000000000627 000000000000000684 000000000000000741 000000000000000798 000000000000000855 000000000000000912 000000000000000969 000000000000001026 000000000000001083 000000000000001140 000000000000001197 000000000000001254 000000000000001311 000000000000001368 000000000000001425 000000000000001482 000000000000001539 000000000000001596 000000000000001653 000000000000001710 000000000000001767 000000000000001824 000000000000001881 000000000000001938 000000000000001995 000000000000002052 000000000000002109 000000000000002166 000000000000002223 000000000000002280 000000000000002337 000000000000002394 000000000000002451 000000000000002508 000000000000002565 000000000000002622 000000000000002679 000000000000002736 000000000000002793 000000000000002850 000000000000002907 000000000000002964 000000000000003021 000000000000003078 …
Terms are written in 18
digit strings.
The first 54 non-zero
terms of this sequence are shown above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 58:
17,241,379,310,344,827,586,206,896,548,275,862,068,965,
517,241,379,310,345,000,000,000,000,000,000,000,000,000 is a Sequence Number that produces a decimal expansion the counts by 58, or shows the 58 times table.
The inverse of this
number is:
1/17241379310344827586206896548275862068965517241
379310345000000000000000000000000000 =
0.
0000000000000000000000000000 0000000000000000000000000000 0000000000000000000000000058 0000000000000000000000000116 0000000000000000000000000174 0000000000000000000000000232 0000000000000000000000000290 0000000000000000000000000348 0000000000000000000000000406 0000000000000000000000000464 0000000000000000000000000522 0000000000000000000000000580 0000000000000000000000000638 0000000000000000000000000696 0000000000000000000000000754 0000000000000000000000000812 0000000000000000000000000870 0000000000000000000000000928 0000000000000000000000000986 0000000000000000000000001044 0000000000000000000000001102 0000000000000000000000001160 0000000000000000000000001218 0000000000000000000000001276 0000000000000000000000001334 0000000000000000000000001392 0000000000000000000000001450 0000000000000000000000001508 0000000000000000000000001566 0000000000000000000000001624 0000000000000000000000001682 0000000000000000000000001740 0000000000000000000000001798 0000000000000000000000001856 0000000000000000000000001914 0000000000000000000000001972 0000000000000000000000002030 ...
Terms are written in 28
digit strings.
The first 35 non-zero
term of this sequence are shown above.
This sequence is not
found in the OEIS collection.
|
Multiples of 59:
1,694,915,254,237,288,135,593,220,338,983,050,847,457,
627,118,644,067,796,609,830,508,474,576,271,186,440, 677,966,101,694,915,254,237,288,135,593,220,339 is a Sequence Number that produces a decimal expansion the counts by 59, or shows the 59 times table.
1/169491525423728813559322033898305084745762711
86440677966098305084745762711864406779661016949 15254237288135593220339 =
0.
00000000000000000000000000000000000000000000000 00000000000 00000000000000000000000000000000000000000000000 00000000059 00000000000000000000000000000000000000000000000 00000000118 00000000000000000000000000000000000000000000000 00000000177 00000000000000000000000000000000000000000000000 00000000236 00000000000000000000000000000000000000000000000 00000000295 00000000000000000000000000000000000000000000000 00000000354 00000000000000000000000000000000000000000000000 00000000413 00000000000000000000000000000000000000000000000 00000000472 00000000000000000000000000000000000000000000000 00000000531 00000000000000000000000000000000000000000000000 00000000590 00000000000000000000000000000000000000000000000 00000000649 00000000000000000000000000000000000000000000000 00000000767 00000000000000000000000000000000000000000000000 00000000826 00000000000000000000000000000000000000000000000 00000000885 00000000000000000000000000000000000000000000000 00000000944 00000000000000000000000000000000000000000000000 00000001003 00000000000000000000000000000000000000000000000 00000001062 00000000000000000000000000000000000000000000000 00000001121 00000000000000000000000000000000000000000000000 00000001180 00000000000000000000000000000000000000000000000 00000001239 00000000000000000000000000000000000000000000000 00000001298 00000000000000000000000000000000000000000000000 00000001357 00000000000000000000000000000000000000000000000 00000001416 00000000000000000000000000000000000000000000000 00000001475 00000000000000000000000000000000000000000000000 00000001534 00000000000000000000000000000000000000000000000 00000001593 00000000000000000000000000000000000000000000000 00000001652 00000000000000000000000000000000000000000000000 00000001711 00000000000000000000000000000000000000000000000 00000001770 00000000000000000000000000000000000000000000000 00000001829 00000000000000000000000000000000000000000000000 00000001888 00000000000000000000000000000000000000000000000 00000001947 00000000000000000000000000000000000000000000000 00000002006 ...
Terms are written in 58
digit strings.
The first 34 non-zero
terms are listed above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 60:
16,666,333,335,000 is a
Sequence Number that produces a decimal expansion the counts by 60, or shows
the 60 times table.
1/16666333335000 =
0.
00000 00000 00060 00120 00180 00240 00300 00360 00420 00480 00540 00600 00660 00720 00780 00840 00900 00960 01020 01080 01140 01200 01260 01320 01380 01440 01500 01560 01620 01680 01740 01800 01860 01920 01980 02040 02100 02160 02220 02280 02340 02400 02460 02520 02580 02640 02700 02760 02820 02880 02940 03000 03060 03120 03180 03240 03300 03360 03420 03480 03540 03600 03660 03720 03780 03840 03900 03960 04020 04080 04140 04200 04260 04320 04380 04440 04500 04560 04620 04680 04740 04800 04860 04920 04980 05040 05100 05160 05220 05280 05340 05400 05460 05520 05580 05640 05700 05760 05820 05880 05940 06000 …
Terms are written in
five digit strings.
The first 100 non-zero
terms in this sequence are listed above.
Compare with OEIS sequence
A169823.
|
Multiples of 61:
A Sequence Number that
produces this sequence is:
16,393,442,622,950,819,672,131,147,540,983,606,557,377,
049,180,327,868,852,458,983,606,557,377,049,180,327, 868,852,459,016,393,442,622,950,819,672,131,147,541.
The inverse of this
number is:
1/163934426229508196721311475409836065573770491803
27868852458983606557377049180327868852459016393442 622950819672131147541 =
0.
00000000000000000000000000000000000000000000000000 0000000000 00000000000000000000000000000000000000000000000000 0000000061 00000000000000000000000000000000000000000000000000 0000000122 00000000000000000000000000000000000000000000000000 0000000183 00000000000000000000000000000000000000000000000000 0000000244 00000000000000000000000000000000000000000000000000 0000000305 00000000000000000000000000000000000000000000000000 0000000366 00000000000000000000000000000000000000000000000000 0000000427 00000000000000000000000000000000000000000000000000 0000000488 00000000000000000000000000000000000000000000000000 0000000549 00000000000000000000000000000000000000000000000000 0000000610 00000000000000000000000000000000000000000000000000 0000000671 00000000000000000000000000000000000000000000000000 0000000732 00000000000000000000000000000000000000000000000000 0000000793 00000000000000000000000000000000000000000000000000 0000000854 00000000000000000000000000000000000000000000000000 0000000915 00000000000000000000000000000000000000000000000000 0000000976 00000000000000000000000000000000000000000000000000 0000001037 00000000000000000000000000000000000000000000000000 0000001098 00000000000000000000000000000000000000000000000000 0000001159 00000000000000000000000000000000000000000000000000 0000001220 00000000000000000000000000000000000000000000000000 0000001281 00000000000000000000000000000000000000000000000000 0000001342 00000000000000000000000000000000000000000000000000 0000001403 00000000000000000000000000000000000000000000000000 0000001464 00000000000000000000000000000000000000000000000000 0000001525 00000000000000000000000000000000000000000000000000 0000001586 00000000000000000000000000000000000000000000000000 0000001647 00000000000000000000000000000000000000000000000000 0000001708 00000000000000000000000000000000000000000000000000 0000001769 00000000000000000000000000000000000000000000000000 0000001830 00000000000000000000000000000000000000000000000000 0000001891 00000000000000000000000000000000000000000000000000 0000001952 00000000000000000000000000000000000000000000000000 0000002013 00000000000000000000000000000000000000000000000000 0000002074 00000000000000000000000000000000000000000000000000 0000002135 00000000000000000000000000000000000000000000000000 0000002196 00000000000000000000000000000000000000000000000000 0000002257 00000000000000000000000000000000000000000000000000 0000002318 00000000000000000000000000000000000000000000000000 0000002379 00000000000000000000000000000000000000000000000000 0000002440 00000000000000000000000000000000000000000000000000 0000002501 00000000000000000000000000000000000000000000000000 0000002562 00000000000000000000000000000000000000000000000000 0000002623 00000000000000000000000000000000000000000000000000 0000002684 00000000000000000000000000000000000000000000000000 0000002745 00000000000000000000000000000000000000000000000000 0000002806 00000000000000000000000000000000000000000000000000 0000002867 00000000000000000000000000000000000000000000000000 0000002928 00000000000000000000000000000000000000000000000000 0000002989 00000000000000000000000000000000000000000000000000 0000003050 00000000000000000000000000000000000000000000000000 0000003111 00000000000000000000000000000000000000000000000000 0000003172 00000000000000000000000000000000000000000000000000 0000003233 00000000000000000000000000000000000000000000000000 0000003294 00000000000000000000000000000000000000000000000000 0000003355 00000000000000000000000000000000000000000000000000 0000003416 00000000000000000000000000000000000000000000000000 0000003477 00000000000000000000000000000000000000000000000000 0000003538 00000000000000000000000000000000000000000000000000 0000003599 00000000000000000000000000000000000000000000000000 0000003660 00000000000000000000000000000000000000000000000000 0000003721 00000000000000000000000000000000000000000000000000 0000003782 00000000000000000000000000000000000000000000000000 0000003843 00000000000000000000000000000000000000000000000000 0000003904 00000000000000000000000000000000000000000000000000 0000003965 …
Terms are written in 60
digit strings.
The first 65 non-zero
terms of this sequence are accurately listed above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 79:
126,582,278,481,012,658,227,848,098,734,177,215,189,873,
417,721,519 is a Sequence Number that produces a decimal expansion the counts by 79, or shows the 79 times table.
1/126582278481012658227848098734177215189873417721
519 =
0.
00000000000000000000000000 00000000000000000000000079 00000000000000000000000158 00000000000000000000000237 00000000000000000000000316 00000000000000000000000395 00000000000000000000000474 00000000000000000000000553 00000000000000000000000632 00000000000000000000000711 00000000000000000000000790 00000000000000000000000869 00000000000000000000000948 00000000000000000000001027 00000000000000000000001106 00000000000000000000001185 00000000000000000000001264 00000000000000000000001343 00000000000000000000001422 00000000000000000000001501 00000000000000000000001580 00000000000000000000001659 00000000000000000000001738 00000000000000000000001817 00000000000000000000001896 00000000000000000000001975 00000000000000000000002054 00000000000000000000002133 00000000000000000000002212 00000000000000000000002291 00000000000000000000002370 00000000000000000000002449 00000000000000000000002528 00000000000000000000002607 00000000000000000000002686 00000000000000000000002765 00000000000000000000002844 00000000000000000000002923 00000000000000000000003002 ...
Terms are written in 26
digit strings.
All terms listed above
are accurate.
This sequence is not
listed in the OEIS collection.
|
Multiples of 81:
12,345,654,321 is a
Sequence Number that produces a decimal expansion the counts by 81, or shows
the 81 times table.
1/12345654321 =
0.
000000 000081 000162 000243 000324 000405 000486 000567 000648 000729 000810 000891 000972 001053 001134 001215 001296 001377 001458 001539 001620 001701 001782 001863 001944 002025 002106 002187 002268 002349 002430 002511 002592 002673 002754 002835 002916 002997 003078 003159 003240 003321 003402 003483 003564 003645 003726 003807 003888 003969 004050 004131 004212 004293 004374 004455 004536 004617 004698 004779 004860 004941 005022 005103 005184 005265 005346 005427 005508 005589 005670 005751 005832 005913 005994 006075 006156 006237 006318 006399 006480 006561 006642 006723 006804 006885 006966 007047 007128 007209 007290 007371 007452 007533 007614 007695 007776 007857 007938 008019 008100 008181 008262 008343 008424 008505 008586 008667 008748 008829 008910 008991 009072 009153 009234 009315 009396 009477 009558 009639 009720 009801 009882 009963 010044 010125 010206 010287 010368 010449 010530 010611 010692 010773 010854 010935 011016 011097 011178 011259 011340 011421 011502 011583 011664 011745 011826 011907 011988 012069 012150 012231 012312 012393 012474 012555 012636 012717 012798 012879 012960 013041 013122 013203 013284 013365 013446 013527 013608 013689 013770 013851 013932 014013 014094 014175 014256 014337 014418 014499 014580 014661 014742 014823 014904 014985 015066 015147 015228 015309 015390 015471 015552 015633 015714 015795 015876 015957 016038 016119 016200 016281 016362 016443 016524 016605 016686 016767 016848 016929 017010 017091 017172 017253 017334 017415 017496 017577 017658 017739 017820 017901 017982 018063 018144 018225 018306 018387 018468 018549 018630 018711 018792 018873 018954 019035 019116 019197 019278 019359 019440 019521 019602 019683 019764 019845 019926 020007 020088 020169 020250 020331 020412 020493 020574 020655 020736 020817 020898 020979 021060 021141 021222 021303 021384 021465 021546 021627 021708 021789 021870 021951 022032 022113 022194 022275 022356 022437 022518 022599 022680 022761 022842 022923 023004 023085 023166 023247 023328 023409 023490 023571 023652 023733 023814 023895 023976 024057 024138 024219 024300 024381 024462 024543 024624 024705 024786 024867 024948 025029 025110 025191 025272 025353 025434 025515 025596 025677 025758 025839 025920 026001 026082 026163 026244 026325 026406 026487 026568 026649 026730 026811 026892 026973 027054 027135 027216 027297 027378 027459 027540 027621 027702 027783 027864 027945 028026 028107 028188 028269 028350 028431 028512 028593 028674 028755 028836 028917 028998 029079 029160 029241 029322 029403 029484 029565 029646 029727 029808 029889 029970 030051 030132 030213 030294 030375 030456 030537 030618 030699 030780 030861 030942 031023 031104 031185 031266 031347 031428 031509 031590 031671 031752 031833 031914 031995 032076 032157 032238 032319 032400 032481 032562 032643 032724 032805 032886 032967 033048 033129 033210 033291 033372 033453 033534 033615 033696 033777 033858 033939 034020 034101 034182 034263 034344 034425 034506 034587 034668 034749 034830 034911 034992 035073 035154 035235 035316 035397 035478 035559 035640 035721 035802 035883 035964 036045 036126 036207 036288 036369 036450 036531 036612 036693 036774 036855 036936 037017 037098 037179 037260 037341 037422 037503 037584 037665 037746 037827 037908 037989 038070 038151 038232 038313 038394 038475 038556 038637 038718 038799 038880 038961 039042 039123 039204 039285 039366 039447 039528 039609 039690 039771 039852 039933 040014 040095 040176 040257 040338 040419 040500 040581 040662 040743 040824 040905 040986 041067 041148 041229 041310 041391 041472 041553 041634 041715 041796 041877 041958 042039 042120 042201 042282 042363 042444 042525 042606 042687 042768 042849 042930 043011 043092 043173 043254 043335 043416 043497 043578 043659 043740 043821 043902 043983 044064 044145 044226 044307 044388 044469 044550 044631 044712 044793 044874 044955 045036 045117 045198 045279 045360 045441 045522 045603 045684 045765 045846 045927 046008 046089 046170 046251 046332 046413 046494 046575 046656 046737 046818 046899 046980 047061 047142 047223 047304 047385 047466 047547 047628 047709 047790 047871 047952 048033 048114 048195 048276 048357 048438 048519 048600 048681 048762 048843 048924 049005 049086 049167 049248 049329 049410 049491 049572 049653 049734 049815 049896 049977 050058 050139 050220 050301 050382 050463 050544 050625 050706 050787 050868 050949 051030 051111 051192 051273 051354 051435 051516 051597 051678 051759 051840 051921 052002 052083 052164 052245 052326 052407 052488 052569 052650 ...
Terms are written in six
digit stings.
Terms are accurate up to
the 650th non-zero term.
This sequence is not
listed in the OEIS collection.
|
Multiples of 99:
1,009,899 is a Sequence
Number that produces a decimal expansion the counts by 99, or shows the 99
times table.
1/1009899 =
0.
0000 0099 0198 0297 0396 0495 0594 0693 0792 0891 0990 1089 1188 1287 1386 1485 1584 1683 1782 1881 1980 2079 2178 2277 2376 2475 2574 2673 2772 2871 2970 3069 3168 3267 3366 3465 3564 3663 3762 3861 3960 4059 4158 4257 4356 4455 4554 4653 4752 4851 4950 5049 5148 5247 5346 5445 5544 5643 5742 5841 5940 6039 6138 6237 6336 6435 6534 6633 6732 6831 6930 7029 7128 7227 7326 7425 7524 7623 7722 7821 7920 8019 8118 8217 8316 8415 8514 8613 8712 8811 8910 9009 9108 9207 9306 9405 9504 9603 9702 9801 …
Terms are written in
four digit strings.
The first 99 non-zero
terms in this sequence are accurate.
This sequence is not
part of the OEIS collection.
|
Multiples of 101:
990,099,009,900,990,099,009,900,989,900,990,099,009,900,
990,099,009,901 is a Sequence Number that produces a decimal expansion the counts by 101, or shows the 101 times table.
1/99009900990099009900990098990099009900990099009
9009901 =
0.
0000000000000000000000000000 0000000000000000000000000101 0000000000000000000000000202 0000000000000000000000000303 0000000000000000000000000404 0000000000000000000000000505 0000000000000000000000000606 0000000000000000000000000707 0000000000000000000000000808 0000000000000000000000000909 0000000000000000000000001010 0000000000000000000000001111 0000000000000000000000001212 0000000000000000000000001313 0000000000000000000000001414 0000000000000000000000001515 0000000000000000000000001616 0000000000000000000000001717 0000000000000000000000001818 0000000000000000000000001919 0000000000000000000000002020 0000000000000000000000002121 0000000000000000000000002222 0000000000000000000000002323 0000000000000000000000002424 0000000000000000000000002525 0000000000000000000000002626 0000000000000000000000002727 0000000000000000000000002828 0000000000000000000000002929 0000000000000000000000003030 0000000000000000000000003131 0000000000000000000000003232 0000000000000000000000003333 0000000000000000000000003434 0000000000000000000000003535 ...
Terms are written in 28
digit strings.
All of the terms listed
above are accurate.
This sequence is not
listed in the OEIS collection.
|
Multiples of 111:
9,008,990,991 is a
Sequence Number that produces a decimal expansion the counts by 111, or shows
the 111 times table.
1/9008990991 =
0.
000000 000111 000222 000333 000444 000555 000666 000777 000888 000999 001110 001221 001332 001443 001554 001665 001776 001887 001998 002109 002220 002331 002442 002553 002664 002775 002886 002997 003108 003219 003330 003441 003552 003663 003774 003885 003996 004107 004218 004329 004440 004551 004662 004773 004884 004995 005106 005217 005328 005439 005550 005661 005772 005883 005994 006105 006216 006327 006438 006549 006660 006771 006882 006993 007104 007215 007326 007437 007548 007659 007770 007881 007992 008103 008214 008325 008436 008547 008658 008769 008880 ...
Terms are written in six
digit strings.
All of the terms listed
above are accurate.
This sequence is not listed
in the OEIS collection.
|
Multiples of 123:
813,008,129,918,699,187
is a Sequence Number that produces a decimal expansion the counts by 123, or
shows the 123 times table.
1/813008129918699187 =
0.
0000000000 0000000123 0000000246 0000000369 0000000492 0000000615 0000000738 0000000861 0000000984 0000001107 0000001230 0000001353 0000001476 0000001599 0000001722 0000001845 0000001968 0000002091 0000002214 0000002337 0000002460 0000002583 0000002706 0000002829 0000002952 0000003075 0000003198 0000003321 0000003444 0000003567 0000003690 0000003813 0000003936 0000004059 0000004182 0000004305 0000004428 0000004551 0000004674 0000004797 0000004920 0000005043 0000005166 0000005289 0000005412 0000005535 0000005658 0000005781 0000005904 0000006027 0000006150 0000006273 0000006396 0000006519 0000006642 0000006765 0000006888 0000007011 0000007134 0000007257 0000007380 0000007503 0000007626 0000007749 0000007872 0000007995 0000008118 0000008241 0000008364 0000008487 0000008610 0000008733 0000008856 0000008979 0000009102 0000009225 0000009348 0000009471 0000009594 0000009717 0000009840 0000009963 0000010086 0000010209 0000010332 0000010455 0000010578 0000010701 0000010824 0000010947 0000011070 0000011193 0000011316 0000011439 0000011562 0000011685 0000011808 0000011931 0000012054 0000012177 0000012300 0000012423 0000012546 0000012669 0000012792 0000012915 0000013038 0000013161 0000013284 0000013407 0000013530 0000013653 0000013776 0000013899 0000014022 0000014145 0000014268 0000014391 0000014514 0000014637 0000014760 0000014883 0000015006 0000015129 0000015252 0000015375 0000015498 0000015621 0000015744 0000015867 0000015990 0000016113 0000016236 0000016359 0000016482 0000016605 0000016728 0000016851 0000016974 0000017097 0000017220 0000017343 0000017466 0000017589 0000017712 0000017835 0000017958 0000018081 0000018204 0000018327 0000018450 0000018573 0000018696 0000018819 0000018942 0000019065 0000019188 0000019311 0000019434 0000019557 0000019680 0000019803 0000019926 0000020049 0000020172 0000020295 0000020418 0000020541 0000020664 0000020787 0000020910 0000021033 0000021156 0000021279 0000021402 0000021525 0000021648 0000021771 0000021894 0000022017 0000022140 0000022263 0000022386 0000022509 0000022632 0000022755 0000022878 0000023001 0000023124 0000023247 0000023370 0000023493 0000023616 0000023739 0000023862 0000023985 0000024108 0000024231 0000024354 0000024477 0000024600 0000024723 0000024846 0000024969 0000025092 0000025215 0000025338 0000025461 0000025584 0000025707 0000025830 0000025953 0000026076 0000026199 0000026322 0000026445 0000026568 0000026691 0000026814 0000026937 0000027060 0000027183 0000027306 0000027429 0000027552 0000027675 0000027798 0000027921 0000028044 0000028167 0000028290 0000028413 0000028536 0000028659 0000028782 0000028905 0000029028 0000029151 0000029274 0000029397 0000029520 0000029643 0000029766 0000029889 0000030012 0000030135 0000030258 0000030381 0000030504 0000030627 0000030750 0000030873 0000030996 0000031119 0000031242 0000031365 0000031488 0000031611 0000031734 0000031857 0000031980 0000032103 0000032226 0000032349 0000032472 0000032595 0000032718 0000032841 0000032964 0000033087 0000033210 0000033333 0000033456 0000033579 0000033702 0000033825 0000033948 0000034071 0000034194 0000034317 0000034440 0000034563 0000034686 0000034809 0000034932 0000035055 0000035178 0000035301 0000035424 0000035547 0000035670 0000035793 0000035916 0000036039 0000036162 0000036285 0000036408 0000036531 0000036654 0000036777 0000036900 0000037023 0000037146 0000037269 0000037392 0000037515 0000037638 0000037761 0000037884 0000038007 0000038130 0000038253 0000038376 0000038499 0000038622 0000038745 0000038868 0000038991 0000039114 0000039237 0000039360 0000039483 0000039606 0000039729 0000039852 0000039975 0000040098 0000040221 0000040344 0000040467 0000040590 0000040713 0000040836 0000040959 0000041082 0000041205 0000041328 0000041451 0000041574 0000041697 0000041820 0000041943 0000042066 0000042189 0000042312 0000042435 0000042558 0000042681 0000042804 0000042927 0000043050 0000043173 0000043296 0000043419 0000043542 0000043665 0000043788 0000043911 0000044034 0000044157 0000044280 0000044403 0000044526 0000044649 0000044772 0000044895 0000045018 0000045141 0000045264 0000045387 0000045510 0000045633 0000045756 0000045879 0000046002 0000046125 0000046248 0000046371 0000046494 0000046617 0000046740 0000046863 0000046986 0000047109 0000047232 0000047355 0000047478 0000047601 0000047724 0000047847 0000047970 ...
This sequence number
produces multiples of 123, beginning with 0 * 123, and writing them in 10
digit strings.
Terms are accurate to
the 390th non-zero term (390 * 123 = 47970), which is the limit of my
computation. (This sequence probably
continues to be accurate far after the terms shown above. The reason the calculation stops here is
that is the limit of the output of the software I am using.)
This sequence is not in
the OEIS collection.
|
Multiples of 137:
72,992,699,270,073 is a
Sequence Number that produces a decimal expansion the counts by multiples of 137,
or shows the 137 times table.
1/72992699270073 =
0.
00000000 00000137 00000274 00000411 00000548 00000685 00000822 00000959 00001096 00001233 00001370 00001507 00001644 00001781 00001918 00002055 00002192 00002329 00002466 00002603 00002740 00002877 00003014 00003151 00003288 00003425 00003562 00003699 00003836 00003973 00004110 00004247 00004384 00004521 00004658 00004795 00004932 00005069 00005206 00005343 00005480 00005617 00005754 00005891 00006028 00006165 00006302 00006439 00006576 00006713 00006850 00006987 00007124 00007261 00007398 00007535 00007672 00007809 00007946 00008083 00008220 ...
Terms are written in
eight digit strings.
All terms listed above
are accurate.
This sequence is not
listed in the OEIS collection.
|
Multiples of 143:
6,992,993,007 is a
Sequence Number that produces a decimal expansion the counts by 143, or shows
the 143 times table.
1/6992993007 =
0.
000000 000143 000286 000429 000572 000715 000858 001001 001144 001287 001430 001573 001716 001859 002002 002145 002288 002431 002574 002717 002860 003003 003146 003289 003432 003575 003718 003861 004004 004147 004290 004433 004576 004719 004862 005005 005148 005291 005434 005577 005720 005863 006006 006149 006292 006435 006578 006721 006864 007007 007150 007293 007436 007579 007722 007865 008008 008151 008294 008437 008580 008723 008866 009009 009152 009295 009438 009581 009724 009867 010010 010153 010296 010439 010582 010725 010868 011011 011154 011297 011440 ...
Terms are written in six
digit strings.
The first 80 non-zero terms
listed above. All are accurate.
This sequence is a
repeating decimal with a period of 41,958.
This means that I would expect to see approximately 6,990 correct terms
in this sequence. I do not have the
computing power at this time to verify this.
This sequence is not
listed in the OEIS collection.
|
Multiples of 153:
653,594,771,241,829,934,640,522,875,817
is a Sequence Number that produces a decimal expansion the counts by 153, or
shows the 153 times table.
1/653594771241829934640522875817
=
0.
0000000000000000 0000000000000153 0000000000000306 0000000000000459 0000000000000612 0000000000000765 0000000000000918 0000000000001071 0000000000001224 0000000000001377 0000000000001530 0000000000001683 0000000000001836 0000000000001989 0000000000002142 0000000000002295 0000000000002448 0000000000002601 0000000000002754 0000000000002907 0000000000003060 0000000000003213 0000000000003366 0000000000003519 0000000000003672 0000000000003825 0000000000003978 0000000000004131 0000000000004284 0000000000004437 0000000000004590 0000000000004743 0000000000004896 0000000000005049 0000000000005202 0000000000005355 0000000000005508 0000000000005661 0000000000005814 0000000000005967 0000000000006120 0000000000006273 0000000000006426 0000000000006579 0000000000006732 0000000000006885 0000000000007038 0000000000007191 0000000000007344 0000000000007497 0000000000007650 0000000000007803 0000000000007956 0000000000008109 0000000000008262 0000000000008415 0000000000008568 0000000000008721 0000000000008874 0000000000009027 0000000000009180 0000000000009333 ...
Terms are written in 16
digit strings.
The first 61 non-zero
terms of this sequence are shown accurately above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 169:
A Sequence Number that
produces this sequence is:
5,917,159,763,301,775,147,929.
The inverse of this
number is:
1/5917159763301775147929
=
0.
000000000000 000000000169 000000000338 000000000507 000000000676 000000000845 000000001014 000000001183 000000001352 000000001521 000000001690 000000001859 000000002028 000000002197 000000002366 000000002535 000000002704 000000002873 000000003042 000000003211 000000003380 000000003549 000000003718 000000003887 000000004056 000000004225 000000004394 000000004563 000000004732 000000004901 000000005070 000000005239 000000005408 000000005577 000000005746 000000005915 000000006084 000000006253 000000006422 000000006591 000000006760 000000006929 000000007098 000000007267 000000007436 000000007605 000000007774 000000007943 000000008112 000000008281 000000008450 000000008619 000000008788 000000008957 000000009126 000000009295 000000009464 000000009633 000000009802 000000009971 000000010140 000000010309 000000010478 000000010647 000000010816 000000010985 000000011154 000000011323 000000011492 000000011661 000000011830 000000011999 000000012168 000000012337 000000012506 000000012675 000000012844 000000013013 000000013182 000000013351 000000013520 000000013689 ...
Terms are written in 12
digit strings.
Though I lack the
computer power to verify this, it is expected that this sequence would
include over 400 million correct terms before it makes an error. All of the terms shown above are correct.
This sequence is not
listed in the OEIS collection.
|
Multiples of 2,906,161:
344,096,559,000,000,344,096,558,999,999,655,903,440,
999,999,655,903,441 is a Sequence Number that produces a decimal expansion the counts by 2,906,161, or shows the 2,906,161 times table.
The inverse of this
number is:
1/344096559000000344096558999999655903440999999
655903441 =
0.
000000000000000000000000000000 000000000000000000000002906161 000000000000000000000005812322 000000000000000000000008718483 000000000000000000000011624644 000000000000000000000014530805 000000000000000000000017436966 000000000000000000000020343127 000000000000000000000023249288 000000000000000000000026155449 000000000000000000000029061610 000000000000000000000031967771 …
Terms are written in 30
digit strings.
The first 11 non-zero terms
are accurately shown above.
This sequence is not
listed in the OEIS sequence.
|
Multiples of 77,843,839,397:
128,462,317,345,377,326,699,999,999,998,715,376,826,546,
226,733 is a Sequence Number that produces a decimal expansion the counts by multiples
of 77.843.839.397, or shows the 77.843.839.397 times table.
1/128462317345377326699999999998715376826546226733
=
0.
00000000000000000000000000000 00000000000000000077843839397 00000000000000000155687678794 00000000000000000233531518191 00000000000000000311375357588 00000000000000000389219196985 00000000000000000467063036382 00000000000000000544906875779 00000000000000000622750715176 00000000000000000700594554573 00000000000000000778438393970 00000000000000000856282233367 00000000000000000934126072764 00000000000000001011969912161 00000000000000001089813751558 00000000000000001167657590955 00000000000000001245501430352 00000000000000001323345269749 ...
Terms are written in 29
digit strings.
The first 17 non-zero
terms of this sequence are listed above.
This sequence is not
found in the OEIS collection.
|
Multiples of
909,090,909,090,909,091:
A Sequence Number that
produces this sequence is:
10,999,999,999,999,999,998,899,999,999,999,999,999,890,
000,000,000,000,000,011.
The inverse of this
number is:
1/10999999999999999998899999999999999999890000000
000000000011 =
0.
00000000000000000000000000000000000000 00000000000000000000909090909090909091 00000000000000000001818181818181818182 00000000000000000002727272727272727273 00000000000000000003636363636363636364 00000000000000000004545454545454545455 00000000000000000005454545454545454546 00000000000000000006363636363636363637 00000000000000000007272727272727272728 00000000000000000008181818181818181819 00000000000000000009090909090909090910 00000000000000000010000000000000000001 00000000000000000010909090909090909092 00000000000000000011818181818181818183 00000000000000000012727272727272727274 00000000000000000013636363636363636365 00000000000000000014545454545454545456 00000000000000000015454545454545454547 00000000000000000016363636363636363638 00000000000000000017272727272727272729 00000000000000000018181818181818181820 00000000000000000019090909090909090911 00000000000000000020000000000000000002 00000000000000000020909090909090909093 00000000000000000021818181818181818184 00000000000000000022727272727272727275 00000000000000000023636363636363636366 00000000000000000024545454545454545457 00000000000000000025454545454545454548 00000000000000000026363636363636363639 00000000000000000027272727272727272730 00000000000000000028181818181818181821 00000000000000000029090909090909090912 00000000000000000030000000000000000003 00000000000000000030909090909090909094 00000000000000000031818181818181818185 00000000000000000032727272727272727276 00000000000000000033636363636363636367 00000000000000000034545454545454545458 00000000000000000035454545454545454549 00000000000000000036363636363636363640 00000000000000000037272727272727272731 00000000000000000038181818181818181822 00000000000000000039090909090909090913 00000000000000000040000000000000000004 00000000000000000040909090909090909095 00000000000000000041818181818181818186 00000000000000000042727272727272727277 00000000000000000043636363636363636368 00000000000000000044545454545454545459 00000000000000000045454545454545454550 00000000000000000046363636363636363641 00000000000000000047272727272727272732 00000000000000000048181818181818181823 00000000000000000049090909090909090914 00000000000000000050000000000000000005 00000000000000000050909090909090909096 00000000000000000051818181818181818187 00000000000000000052727272727272727278 00000000000000000053636363636363636369 00000000000000000054545454545454545460 00000000000000000055454545454545454551 00000000000000000056363636363636363642 00000000000000000057272727272727272733 00000000000000000058181818181818181824 00000000000000000059090909090909090915 00000000000000000060000000000000000006 00000000000000000060909090909090909097 00000000000000000061818181818181818188 00000000000000000062727272727272727279 00000000000000000063636363636363636370 00000000000000000064545454545454545461 00000000000000000065454545454545454552 00000000000000000066363636363636363643 00000000000000000067272727272727272734 00000000000000000068181818181818181825 00000000000000000069090909090909090916 00000000000000000070000000000000000007 00000000000000000070909090909090909098 00000000000000000071818181818181818189 00000000000000000072727272727272727280 00000000000000000073636363636363636371 00000000000000000074545454545454545462 00000000000000000075454545454545454553 00000000000000000076363636363636363644 00000000000000000077272727272727272735 00000000000000000078181818181818181826 00000000000000000079090909090909090917 00000000000000000080000000000000000008 00000000000000000080909090909090909099 00000000000000000081818181818181818190 00000000000000000082727272727272727281 00000000000000000083636363636363636372 00000000000000000084545454545454545463 00000000000000000085454545454545454554 00000000000000000086363636363636363645 00000000000000000087272727272727272736 00000000000000000088181818181818181827 00000000000000000089090909090909090918 00000000000000000090000000000000000009 00000000000000000090909090909090909100 00000000000000000091818181818181818191 00000000000000000092727272727272727282 00000000000000000093636363636363636373 ...
Terms are written in 38
digit string.
The first 103 non-zero
terms in this sequence are listed above.
This sequence is not
listed in the OEIS collection.
|
Multiples of 1,111,111,111,111,111,111
(this is a repunit prime number and a palindromic number):
The Sequence Number that
produces this sequence is:
9,000,000,000,000,000,000,899,999,999,999,999,999,909,
999,999,999,999,999,991.
The inverse of this
number is:
1/90000000000000000008999999999999999999099999999
99999999991 =
0.
00000000000000000000000000000000000000 00000000000000000001111111111111111111 00000000000000000002222222222222222222 00000000000000000003333333333333333333 00000000000000000004444444444444444444 00000000000000000005555555555555555555 00000000000000000006666666666666666666 00000000000000000007777777777777777777 00000000000000000008888888888888888888 00000000000000000009999999999999999999 00000000000000000011111111111111111110 00000000000000000012222222222222222221 00000000000000000013333333333333333332 00000000000000000014444444444444444443 00000000000000000015555555555555555554 00000000000000000016666666666666666665 00000000000000000017777777777777777776 00000000000000000018888888888888888887 00000000000000000019999999999999999998 00000000000000000021111111111111111109 00000000000000000022222222222222222220 00000000000000000023333333333333333331 00000000000000000024444444444444444442 00000000000000000025555555555555555553 00000000000000000026666666666666666664 00000000000000000027777777777777777775 00000000000000000028888888888888888886 00000000000000000029999999999999999997 00000000000000000031111111111111111108 00000000000000000032222222222222222219 00000000000000000033333333333333333330 00000000000000000034444444444444444441 00000000000000000035555555555555555552 00000000000000000036666666666666666663 00000000000000000037777777777777777774 00000000000000000038888888888888888885 00000000000000000039999999999999999996 00000000000000000041111111111111111107 00000000000000000042222222222222222218 00000000000000000043333333333333333329 00000000000000000044444444444444444440 00000000000000000045555555555555555551 00000000000000000046666666666666666662 00000000000000000047777777777777777773 00000000000000000048888888888888888884 00000000000000000049999999999999999995 00000000000000000051111111111111111106 00000000000000000052222222222222222217 00000000000000000053333333333333333328 00000000000000000054444444444444444439 00000000000000000055555555555555555550 00000000000000000056666666666666666661 00000000000000000057777777777777777772 00000000000000000058888888888888888883 00000000000000000059999999999999999994 00000000000000000061111111111111111105 00000000000000000062222222222222222216 00000000000000000063333333333333333327 00000000000000000064444444444444444438 00000000000000000065555555555555555549 00000000000000000066666666666666666660 00000000000000000067777777777777777771 00000000000000000068888888888888888882 00000000000000000069999999999999999993 00000000000000000071111111111111111104 00000000000000000072222222222222222215 00000000000000000073333333333333333326 00000000000000000074444444444444444437 00000000000000000075555555555555555548 00000000000000000076666666666666666659 00000000000000000077777777777777777770 00000000000000000078888888888888888881 00000000000000000079999999999999999992 00000000000000000081111111111111111103 00000000000000000082222222222222222214 00000000000000000083333333333333333325 00000000000000000084444444444444444436 00000000000000000085555555555555555547 00000000000000000086666666666666666658 00000000000000000087777777777777777769 00000000000000000088888888888888888880 00000000000000000089999999999999999991 00000000000000000091111111111111111102 00000000000000000092222222222222222213 00000000000000000093333333333333333324 00000000000000000094444444444444444435 00000000000000000095555555555555555546 00000000000000000096666666666666666657 00000000000000000097777777777777777768 00000000000000000098888888888888888879 00000000000000000099999999999999999990 00000000000000000101111111111111111101 00000000000000000102222222222222222212 00000000000000000103333333333333333323 00000000000000000104444444444444444434 00000000000000000105555555555555555545 00000000000000000106666666666666666656 00000000000000000107777777777777777767 00000000000000000108888888888888888878 00000000000000000109999999999999999989 00000000000000000111111111111111111100 00000000000000000112222222222222222211 00000000000000000113333333333333333322 00000000000000000114444444444444444433 …
Terms are written in 38
digit strings.
The first 103 non-zero
terms in this sequence are listed above.
This sequence is not listed
in the OEIS collection – and probably never will be.
|
Multiples of
2,212,394,296,770,203,368,013:
A Sequence Number that
produces this sequence is:
45,199,899,559,489,229,999,999,999,999,999,999,995,480,
010,044,051,077.
The inverse of this
number is:
1/45199899559489229999999999999999999995480010044
051077 =
0.
0000000000000000000000000000000000000 0000000000000002212394296770203368013 0000000000000004424788593540406736026 0000000000000006637182890310610104039 0000000000000008849577187080813472052 0000000000000011061971483851016840065 0000000000000013274365780621220208078 0000000000000015486760077391423576091 0000000000000017699154374161626944104 0000000000000019911548670931830312117 0000000000000022123942967702033680130 0000000000000024336337264472237048143 0000000000000026548731561242440416156 0000000000000028761125858012643784169 0000000000000030973520154782847152182 0000000000000033185914451553050520195 0000000000000035398308748323253888208 0000000000000037610703045093457256221 0000000000000039823097341863660624234 0000000000000042035491638633863992247 0000000000000044247885935404067360260 0000000000000046460280232174270728273 0000000000000048672674528944474096286 0000000000000050885068825714677464299 0000000000000053097463122484880832312 0000000000000055309857419255084200325 0000000000000057522251716025287568338 0000000000000059734646012795490936351 0000000000000061947040309565694304364 0000000000000064159434606335897672377 0000000000000066371828903106101040390 0000000000000068584223199876304408403 0000000000000070796617496646507776416 0000000000000073009011793416711144429 0000000000000075221406090186914512442 0000000000000077433800386957117880455 0000000000000079646194683727321248468 0000000000000081858588980497524616481 0000000000000084070983277267727984494 0000000000000086283377574037931352507 0000000000000088495771870808134720520 0000000000000090708166167578338088533 0000000000000092920560464348541456546 0000000000000095132954761118744824559 0000000000000097345349057888948192572 0000000000000099557743354659151560585 0000000000000101770137651429354928598 0000000000000103982531948199558296611 0000000000000106194926244969761664624 0000000000000108407320541739965032637 0000000000000110619714838510168400650 0000000000000112832109135280371768663 0000000000000115044503432050575136676 0000000000000117256897728820778504689 0000000000000119469292025590981872702 0000000000000121681686322361185240715 0000000000000123894080619131388608728 0000000000000126106474915901591976741 0000000000000128318869212671795344754 0000000000000130531263509441998712767 0000000000000132743657806212202080780 0000000000000134956052102982405448793 0000000000000137168446399752608816806 0000000000000139380840696522812184819 0000000000000141593234993293015552832 0000000000000143805629290063218920845 0000000000000146018023586833422288858 0000000000000148230417883603625656871 0000000000000150442812180373829024884 0000000000000152655206477144032392897 0000000000000154867600773914235760910 0000000000000157079995070684439128923 0000000000000159292389367454642496936 0000000000000161504783664224845864949 0000000000000163717177960995049232962 0000000000000165929572257765252600975 0000000000000168141966554535455968988 0000000000000170354360851305659337001 0000000000000172566755148075862705014 0000000000000174779149444846066073027 0000000000000176991543741616269441040 0000000000000179203938038386472809053 0000000000000181416332335156676177066 0000000000000183628726631926879545079 0000000000000185841120928697082913092 0000000000000188053515225467286281105 0000000000000190265909522237489649118 0000000000000192478303819007693017131 0000000000000194690698115777896385144 0000000000000196903092412548099753157 0000000000000199115486709318303121170 0000000000000201327881006088506489183 0000000000000203540275302858709857196 0000000000000205752669599628913225209 0000000000000207965063896399116593222 0000000000000210177458193169319961235 0000000000000212389852489939523329248 0000000000000214602246786709726697261 0000000000000216814641083479930065274 0000000000000219027035380250133433287 0000000000000221239429677020336801300 0000000000000223451823973790540169313 0000000000000225664218270560743537326 0000000000000227876612567330946905339 0000000000000230089006864101150273352 0000000000000232301401160871353641365 ...
Terms are written in 37
digit strings.
All terms listed are
accurate.
This sequence is not
listed in the OEIS collection.
|
Multiples of 239,073,561,261,285,168,617,387,389,778,123.
A Sequence Number that
produces this sequence is:
4,182,812,999,999,999,999,999,999,999,999,999,999,995,
817,187.
The inverse of this
number is:
1/4182812999999999999999999999999999999995817187
=
0.
000000000000000000000000000000000000000 000000239073561261285168617387389778123 000000478147122522570337234774779556246 000000717220683783855505852162169334369 000000956294245045140674469549559112492 000001195367806306425843086936948890615 000001434441367567711011704324338668738 000001673514928828996180321711728446861 000001912588490090281348939099118224984 000002151662051351566517556486508003107 000002390735612612851686173873897781230 000002629809173874136854791261287559353 000002868882735135422023408648677337476 000003107956296396707192026036067115599 000003347029857657992360643423456893722 000003586103418919277529260810846671845 000003825176980180562697878198236449968 000004064250541441847866495585626228091 000004303324102703133035112973016006214 000004542397663964418203730360405784337 000004781471225225703372347747795562460 000005020544786486988540965135185340583 000005259618347748273709582522575118706 000005498691909009558878199909964896829 000005737765470270844046817297354674952 000005976839031532129215434684744453075 000006215912592793414384052072134231198 000006454986154054699552669459524009321 000006694059715315984721286846913787444 000006933133276577269889904234303565567 000007172206837838555058521621693343690 000007411280399099840227139009083121813 000007650353960361125395756396472899936 000007889427521622410564373783862678059 000008128501082883695732991171252456182 000008367574644144980901608558642234305 000008606648205406266070225946032012428 000008845721766667551238843333421790551 000009084795327928836407460720811568674 000009323868889190121576078108201346797 000009562942450451406744695495591124920 000009802016011712691913312882980903043 000010041089572973977081930270370681166 000010280163134235262250547657760459289 000010519236695496547419165045150237412 000010758310256757832587782432540015535 000010997383818019117756399819929793658 000011236457379280402925017207319571781 000011475530940541688093634594709349904 000011714604501802973262251982099128027 000011953678063064258430869369488906150 000012192751624325543599486756878684273 000012431825185586828768104144268462396 000012670898746848113936721531658240519 000012909972308109399105338919048018642 000013149045869370684273956306437796765 000013388119430631969442573693827574888 000013627192991893254611191081217353011 000013866266553154539779808468607131134 000014105340114415824948425855996909257 000014344413675677110117043243386687380 000014583487236938395285660630776465503 000014822560798199680454278018166243626 000015061634359460965622895405556021749 000015300707920722250791512792945799872 000015539781481983535960130180335577995 000015778855043244821128747567725356118 000016017928604506106297364955115134241 000016257002165767391465982342504912364 000016496075727028676634599729894690487 000016735149288289961803217117284468610 000016974222849551246971834504674246733 000017213296410812532140451892064024856 000017452369972073817309069279453802979 000017691443533335102477686666843581102 000017930517094596387646304054233359225 000018169590655857672814921441623137348 000018408664217118957983538829012915471 000018647737778380243152156216402693594 000018886811339641528320773603792471717 000019125884900902813489390991182249840 000019364958462164098658008378572027963 000019604032023425383826625765961806086 000019843105584686668995243153351584209 000020082179145947954163860540741362332 000020321252707209239332477928131140455 000020560326268470524501095315520918578 000020799399829731809669712702910696701 000021038473390993094838330090300474824 000021277546952254380006947477690252947 000021516620513515665175564865080031070 000021755694074776950344182252469809193 000021994767636038235512799639859587316 000022233841197299520681417027249365439 000022472914758560805850034414639143562 000022711988319822091018651802028921685 000022951061881083376187269189418699808 000023190135442344661355886576808477931 000023429209003605946524503964198256054 000023668282564867231693121351588034177 000023907356126128516861738738977812300 ...
Terms are written in 39
digit strings.
All terms listed above
are accurate.
This sequence is not
listed in the OEIS collection.
|
Multiples of 4,340,876,285,657,460,212,144,534,289,928,559,826,755,-746,751:
A Sequence Number that
produces this sequence is:
2,303,682,330,924,899,999,999,999,999,999,999,999,999,-999,999,999,999,999,999,976,963,176,690,751
The inverse of this
number:
1/2303682330924899999999999999999999999999999999-999999999999976963176690751
=
0.
000000000000000000000000000000000000000000000000 00000000000 000000000000043408762856574602121445342899285598 26755746751 000000000000086817525713149204242890685798571196 53511493502 000000000000130226288569723806364336028697856794 80267240253 000000000000173635051426298408485781371597142393 07022987004 000000000000217043814282873010607226714496427991 33778733755 000000000000260452577139447612728672057395713589 60534480506 000000000000303861339996022214850117400294999187 87290227257 000000000000347270102852596816971562743194284786 14045974008 000000000000390678865709171419093008086093570384 40801720759 000000000000434087628565746021214453428992855982 67557467510 000000000000477496391422320623335898771892141580 94313214261 000000000000520905154278895225457344114791427179 21068961012 000000000000564313917135469827578789457690712777 47824707763 000000000000607722679992044429700234800589998375 74580454514 000000000000651131442848619031821680143489283974 01336201265 000000000000694540205705193633943125486388569572 28091948016 000000000000737948968561768236064570829287855170 54847694767 000000000000781357731418342838186016172187140768 81603441518 000000000000824766494274917440307461515086426367 08359188269 000000000000868175257131492042428906857985711965 35114935020 000000000000911584019988066644550352200884997563 61870681771 000000000000954992782844641246671797543784283161 88626428522 000000000000998401545701215848793242886683568760 15382175273 000000000001041810308557790450914688229582854358 42137922024 000000000001085219071414365053036133572482139956 68893668775 000000000001128627834270939655157578915381425554 95649415526 000000000001172036597127514257279024258280711153 22405162277 000000000001215445359984088859400469601179996751 49160909028 000000000001258854122840663461521914944079282349 75916655779 000000000001302262885697238063643360286978567948 02672402530 000000000001345671648553812665764805629877853546 29428149281 000000000001389080411410387267886250972777139144 56183896032 000000000001432489174266961870007696315676424742 82939642783 000000000001475897937123536472129141658575710341 09695389534 000000000001519306699980111074250587001474995939 36451136285 000000000001562715462836685676372032344374281537 63206883036 000000000001606124225693260278493477687273567135 89962629787 000000000001649532988549834880614923030172852734 16718376538 000000000001692941751406409482736368373072138332 43474123289 000000000001736350514262984084857813715971423930 70229870040 000000000001779759277119558686979259058870709528 96985616791 000000000001823168039976133289100704401769995127 23741363542 000000000001866576802832707891222149744669280725 50497110293 000000000001909985565689282493343595087568566323 77252857044 000000000001953394328545857095465040430467851922 04008603795 000000000001996803091402431697586485773367137520 30764350546 000000000002040211854259006299707931116266423118 57520097297 000000000002083620617115580901829376459165708716 84275844048 000000000002127029379972155503950821802064994315 11031590799 000000000002170438142828730106072267144964279913 37787337550 000000000002213846905685304708193712487863565511 64543084301 000000000002257255668541879310315157830762851109 91298831052 000000000002300664431398453912436603173662136708 18054577803 000000000002344073194255028514558048516561422306 44810324554 000000000002387481957111603116679493859460707904 71566071305 000000000002430890719968177718800939202359993502 98321818056 000000000002474299482824752320922384545259279101 25077564807 000000000002517708245681326923043829888158564699 51833311558 000000000002561117008537901525165275231057850297 78589058309 000000000002604525771394476127286720573957135896 05344805060 000000000002647934534251050729408165916856421494 32100551811 000000000002691343297107625331529611259755707092 58856298562 000000000002734752059964199933651056602654992690 85612045313 000000000002778160822820774535772501945554278289 12367792064 000000000002821569585677349137893947288453563887 39123538815 000000000002864978348533923740015392631352849485 65879285566 ...
Terms are written in 60
digit strings.
The first 66 non-zero terms
of this sequence are accurately shown above.
This sequence is not
listed in the OEIS collection.
How much bigger do we
need to go??? Is an accurate
multiplication table for a 46 digit number, accurately produced by a Sequence
Number, not enough for you???
|
OK, I’ll give you a
bigger one.
Multiples of 2,253,222,051,202,668,535,939,680,344,400,484,082,225,
480,381,308,261,280,925,191.
A Sequence Number that
generates this sequence is:
44,380,889,999,999,999,999,999,999,999,999,999,999,999,
999,999,999,999,999,999,999,999,995,561,911.
The inverse of this
number is:
1/44380889999999999999999999999999999999999999999
999999999999999999995561911 =
0.
0000000000000000000000000000000000000000000000000 000000000000000000 0000002253222051202668535939680344400484082225480 381308261280925191 0000004506444102405337071879360688800968164450960 762616522561850382 0000006759666153608005607819041033201452246676441 143924783842775573 0000009012888204810674143758721377601936328901921 525233045123700764 0000011266110256013342679698401722002420411127401 906541306404625955 0000013519332307216011215638082066402904493352882 287849567685551146 0000015772554358418679751577762410803388575578362 669157828966476337 0000018025776409621348287517442755203872657803843 050466090247401528 0000020278998460824016823457123099604356740029323 431774351528326719 0000022532220512026685359396803444004840822254803 813082612809251910 0000024785442563229353895336483788405324904480284 194390874090177101 0000027038664614432022431276164132805808986705764 575699135371102292 0000029291886665634690967215844477206293068931244 957007396652027483 0000031545108716837359503155524821606777151156725 338315657932952674 0000033798330768040028039095205166007261233382205 719623919213877865 0000036051552819242696575034885510407745315607686 100932180494803056 0000038304774870445365110974565854808229397833166 482240441775728247 0000040557996921648033646914246199208713480058646 863548703056653438 0000042811218972850702182853926543609197562284127 244856964337578629 0000045064441024053370718793606888009681644509607 626165225618503820 0000047317663075256039254733287232410165726735088 007473486899429011 0000049570885126458707790672967576810649808960568 388781748180354202 0000051824107177661376326612647921211133891186048 770090009461279393 0000054077329228864044862552328265611617973411529 151398270742204584 0000056330551280066713398492008610012102055637009 532706532023129775 0000058583773331269381934431688954412586137862489 914014793304054966 0000060836995382472050470371369298813070220087970 295323054584980157 0000063090217433674719006311049643213554302313450 676631315865905348 0000065343439484877387542250729987614038384538931 057939577146830539 0000067596661536080056078190410332014522466764411 439247838427755730 0000069849883587282724614130090676415006548989891 820556099708680921 0000072103105638485393150069771020815490631215372 201864360989606112 0000074356327689688061686009451365215974713440852 583172622270531303 0000076609549740890730221949131709616458795666332 964480883551456494 0000078862771792093398757888812054016942877891813 345789144832381685 0000081115993843296067293828492398417426960117293 727097406113306876 0000083369215894498735829768172742817911042342774 108405667394232067 0000085622437945701404365707853087218395124568254 489713928675157258 0000087875659996904072901647533431618879206793734 871022189956082449 0000090128882048106741437587213776019363289019215 252330451237007640 0000092382104099309409973526894120419847371244695 633638712517932831 0000094635326150512078509466574464820331453470176 014946973798858022 0000096888548201714747045406254809220815535695656 396255235079783213 0000099141770252917415581345935153621299617921136 777563496360708404 0000101394992304120084117285615498021783700146617 158871757641633595 0000103648214355322752653225295842422267782372097 540180018922558786 0000105901436406525421189164976186822751864597577 921488280203483977 0000108154658457728089725104656531223235946823058 302796541484409168 0000110407880508930758261044336875623720029048538 684104802765334359 0000112661102560133426796984017220024204111274019 065413064046259550 0000114914324611336095332923697564424688193499499 446721325327184741 0000117167546662538763868863377908825172275724979 828029586608109932 0000119420768713741432404803058253225656357950460 209337847889035123 0000121673990764944100940742738597626140440175940 590646109169960314 0000123927212816146769476682418942026624522401420 971954370450885505 0000126180434867349438012622099286427108604626901 353262631731810696 0000128433656918552106548561779630827592686852381 734570893012735887 0000130686878969754775084501459975228076769077862 115879154293661078 ...
Terms are written in 67
digit terms.
The first 59 non-zero
terms of this sequence are accurately shown above.
This sequence is not
listed in the OEIS collection.
|
David
Appendix:
Prime Factors of Sequence Numbers that
Count:
Sequence Number
|
Prime Factors
|
81
|
34
|
9801
|
34 * 112
|
998001
|
36 * 372
|
99980001
|
34 * 112 * 1012
|
9999800001
|
34 * 412 * 2712
|
999998000001
|
36 * 72 * 112 * 132 * 372
|
99999980000001
|
34 * 2392 * 4,6492
|
9999999800000001
|
34 * 112 * 732 * 1012 * 1372
|
999999998000000001
|
38 * 372 * 333,6672
|
99999999980000000001
|
32 * 112 * 412 * 2712 * 9,0912
|
9999999999800000000001
|
34 * 21,6492 * 513,2392
|
999999999998000000000001
|
36 * 72 * 112 * 132 * 372 *
1012 * 9,9012 |
9999999999998000000000000
1 |
34 * 532 * 792 * 265,371,6532
|
9999999999999800000000000
001 |
34 * 112 * 2392 *
4,6492 * 909,0912 |
9999999999999980000000000
00001 |
36 * 312 * 372 * 412 *
2712 * 2,906,1612 |
9999999999999998000000000
0000001 |
34 * 112 * 172 * 732 *
1012 * 1372 * 5,882,3532 |
9999999999999999800000000
000000001 |
34 *
2,071,7232 *
5,363,222,3572 |
9999999999999999980000000
00000000001 |
38 * 72 * 112 * 132 * 192 * 372 * 52,5792 * 333,6672
|
9999999999999999998000000
0000000000001 |
34 *
1,111,111,111,111,111,1112
|
9999999999999999999800000
000000000000001 |
34 * 112 * 412 * 1012 * 2712 * 3,5412 * 9,0912 * 27,9612
|
9999999999999999999980000
00000000000000001 |
36 * 372 * 432 * 2392 * 1,9332 * 4,6492 * 10,838,6892
|
9999999999999999999998000
0000000000000000001 |
34 * 114
* 232 * 40932 * 8,7792 * 21,6492 * 513,2392
|
9999999999999999999999800
000000000000000000001 |
34 * 11,111,111,111,111,111,111,-1112
|
9999999999999999999999980
00000000000000000000001 |
36 * 72 * 112 * 132 * 372 * 732 * 1012 * 1372 * 9,9012 * 99,990,0012
|
9999999999999999999999998
0000000000000000000000001 |
34 * 412 * 2712 * 21,4012 * 25,6012 * 182,521,213,0012
|
9999999999999999999999999
8000000000000000000000000 01 |
34 * 112 * 532 * 792 * 8592 * 265,371,6532 * 1,058,313,0492
|
9999999999999999999999999
9800000000000000000000000 0001 |
310 * 372 * 7572 * 333,6672 * 440,334,654,777,6312
|
9999999999999999999999999
9980000000000000000000000 000001 |
34 * 112 * 292 * 1012 * 2392 * 2812 * 46492 * 909,0912 * 121,499,4492
|
9999999999999999999999999
9998000000000000000000000 00000001 |
34 * 3,1912 * 16,7632 * 43,0372 * 62,0032 * 77,843,839,3972
|
9999999999999999999999999
9999800000000000000000000 0000000001 |
36 * 72 * 112 * 132 * 312 * 372 * 412 * 2112 * 2412 * 2712 * 2,1612 * 9,0912 * 2,906,1612
|
9999999999999999999999999
9999980000000000000000000 000000000001 |
34 * 27912 * 69433192 * 57,336,415,063,790,604,3592
|
9999999999999999999999999
9999998000000000000000000 00000000000001 |
34 * 112 * 172 * 732 * 1012 * 1372 * 3532 * 4492 * 6412 * 1,4092 * 69,8572 * 5,882,3532
|
9999999999999999999999999
9999999800000000000000000 0000000000000001 |
36 * 372 * 672 * 21,6492 * 513,2392 * 1,344,628,210,313,298,3732
|
9999999999999999999999999
9999999980000000000000000 000000000000000001 |
34 * 112 * 1032 * 4,0132 * 2,071,7232 * 5,363,222,3572 * 21,993,833,3692
|
9999999999999999999999999
9999999998000000000000000 00000000000000000001 |
34 * 412 * 712 * 2392 * 2712 * 4,6492 * 123,5512 * 102,598,800,232,111,4712
|
9999999999999999999999999
9999999999800000000000000 0000000000000000000001 |
38 * 72 * 112 * 132 * 192 * 372 * 1012 * 9,9012 * 52,5792 * 333,6672 * 999,999,000,0012
|
9999999999999999999999999
9999999999980000000000000 000000000000000000000001 |
34 *
2,028,1192 * 247,629,0132 * 2,212,394,296,770,203,368,0132
|
9999999999999999999999999
9999999999998000000000000 0000000000000000000000000 1 |
34 * 112 * 909,090,909,090,909,0912 * 1,111,111,111,111,111,1112
|
9999999999999999999999999
9999999999999800000000000 0000000000000000000000000 001 |
36 * 372 * 532 * 792 * 265,371,6532 * 900,900,900,900,990,990,990,-9912
|
9999999999999999999999999
9999999999999980000000000 0000000000000000000000000 00001 |
34 * 112 * 412 * 732 * 1012 * 1372 * 2712 * 3,5412 * 9,0912 * 27,9612 * 1,676,3212 * 5,964,848,0812
|
9999999999999999999999999
9999999999999998000000000 0000000000000000000000000 0000001 |
34 * 832 * 12312 * 538,9872 * 201,763,709,900,322,803,748,-657,942,3612
|
9999999999999999999999999
9999999999999999800000000 0000000000000000000000000 000000001 |
36 * 74
* 112 * 132 * 372 * 432 * 1272 * 2392 * 1,9332 * 2,6892 * 4,6492 * 459,6912 * 909,0912 * 10,838,6892
|
9999999999999999999999999
9999999999999999980000000 0000000000000000000000000 00000000001 |
34 * 1732 * 1,527,7912 * 1,963,506,722,254,3972 * 2,140,992,015,395,526,6412
|
9999999999999999999999999
9999999999999999998000000 0000000000000000000000000 0000000000001 |
34 * 114
* 232 * 892 * 1012 * 4,0932 * 8,7792 * 21,6492 * 513,2392 * 1,052,788,9692 * 105,668,92612
|
9999999999999999999999999
9999999999999999999800000 0000000000000000000000000 000000000000001 |
38 * 312 * 372 * 412 * 2712 * 238,6812 * 333,6672 * 2,906,1612 * 4,185,502,830,133,110,7212
|
9999999999999999999999999
9999999999999999999980000 0000000000000000000000000 00000000000000001 |
34 * 112 * 472 * 1392 * 2,5312 * 549,797,184,491,9172 * 11,111,111,111,111,111,111,-1112
|
9999999999999999999999999
9999999999999999999998000 0000000000000000000000000 0000000000000000001 |
34 *
35,121,4092 *
31,636,290,876,345,852,500,-140,6154,038,726,382,2792
|
9999999999999999999999999
9999999999999999999999800 0000000000000000000000000 000000000000000000001 |
36 * 72 * 112 * 132 * 172 * 372 * 732 * 1012 * 1372 * 9,9012 * 5,882,3532 * 99,990,0012 * 9,999,999,900,000,0012
|
9999999999999999999999999
9999999999999999999999980 0000000000000000000000000 00000000000000000000001 |
34 * 2392 * 4,6492 * 505,885,9972 * 1,976,730,144,598,190,963,-568,023,014,679,3332
|
9999999999999999999999999
9999999999999999999999998 |000000000000000000000000 0000000000000000000000000 1 |
34 * 112 * 412 * 2512 * 2712 * 5,0512 * 9,0912 * 21,4012 * 25,6012 * 182,521,213,0012 * 78,875,943,472,2012
|
9999999999999999999999999
9999999999999999999999999 8000000000000000000000000 0000000000000000000000000 01 |
36 * 372 * 6132 * 210,6312 * 2,071,7232 * 52,986,9612 * 5,363,222,3572 * 13,168,164,561,429,8772
|
9999999999999999999999999
9999999999999999999999999 9800000000000000000000000 0000000000000000000000000 0001 |
34 * 112 * 532 * 792 * 1012 * 5212 * 8592 * 265,371,6532 * 1,058,313,0492 * 1,900,381,976,777,332,243,
7812 |
9999999999999999999999999
9999999999999999999999999 9980000000000000000000000 0000000000000000000000000 000001 |
34 * 1072 * 1,659,4312 * 1,325,815,267,337,711,1732 *
47,198,858,799,491,425,-660,200,0712
|
9999999999999999999999999
9999999999999999999999999 9998000000000000000000000 0000000000000000000000000 00000001 |
310 * 72 * 112 * 132 * 192 * 37^2 * 7572 * 52,5792 * 333,6672 * 70,541,9292 * 14,175,966,1692 * 440,334,654,777,6312
|
9999999999999999999999999
9999999999999999999999999 9999800000000000000000000 0000000000000000000000000 0000000001 |
34 * 412 * 2712 * 1,3212 * 21,6492 * 62,9212 * 513,2392 * 83,251,6312 * 1,300,635,692,678,058,
358,830,1212 |
9999999999999999999999999
9999999999999999999999999 9999800000000000000000000 0000000000000000000000000 00000000001 |
34 * 112 * 292 * 732 * 1012 * 1372 * 2392 * 2812 * 4,6492 * 7,8412 * 909,0912 * 121,499,4492 * 127,522,001,020,150,503,
7612 |
9999999999999999999999999
9999999999999999999999999 9999980000000000000000000 0000000000000000000000000 0000000000001 |
36 * 372 * 21,3192 * 10,749,6312 * 1,111,111,111,111,111,1112 * 3,931,123,022,305,129,377,
976,5192 |
9999999999999999999999999
9999999999999999999999999 9999999800000000000000000 0000000000000000000000000 0000000000000001 |
34 * 112 * 592 * 3,1912 * 16,7632 * 43,0372 * 62,0032 * 77,843,839,3972 * 154,083,204,930,662,557,
781,201,8492 |
9999999999999999999999999
9999999999999999999999999 9999999980000000000000000 0000000000000000000000000 000000000000000001 |
34 *
2,559,647,034,3612 *
4,340,876,285,657,460,212,
144,534,289,928,559,826, 755,746,7512 |
9999999999999999999999999
9999999999999999999999999 9999999998000000000000000 0000000000000000000000000 00000000000000000001 |
36 * 72 * 112 * 132 * 312 * 372 * 412 * 612 * 1012 * 2112 * 2412 * 2712 * 2,1612 * 3,5412 * 9,0912 * 9,9012 * 27,9612 * 2,906,1612 * 4,188,9012 * 39,526,7412
|
9999999999999999999999999
9999999999999999999999999 9999999999800000000000000 0000000000000000000000000 0000000000000000000001 |
34 * 7332 * 4,6372 * 329,4012 * 974,2932 * 1,360,682,4712 * 106,007,173,861,6432 * 7,061,709,990,156,159,4792
|
9999999999999999999999999
9999999999999999999999999 9999999999980000000000000 0000000000000000000000000 000000000000000000000001 |
34 * 112 * 2,7912 * 6,943,3192 * 57,336,415,063,790,604,3592
* 909,090,909,090,909,090,
909,090,909,0912 |
9999999999999999999999999
9999999999999999999999999 9999999999998000000000000 0000000000000000000000000 0000000000000000000000000 1 |
3 8 * 372 * 432 * 2392 * 1,9332 * 4,6492 * 10,8372 * 23,3112 * 45,6132 * 33,36672 * 10,838,6892 * 45,121,2312 * 1,921,436,048,294,2812
|
9999999999999999999999999
9999999999999999999999999 9999999999999800000000000 0000000000000000000000000 0000000000000000000000000 001 |
34 * 112 * 172 * 732 * 1012 * 1372 * 3532 * 4492 * 6412 * 1,4092 * 19,8412 * 69,8572 * 976,1932 * 5,882,3532 * 6,187,4572 * 834,427,406,578,5612
|
9999999999999999999999999
9999999999999999999999999 9999999999999980000000000 0000000000000000000000000 0000000000000000000000000 00001 |
34 * 412 * 532 * 792 * 2712 * 265,371,6532 * 162,503,518,7112 * 5,538,396,997,364,024,056,
286,510,640,780,600,481^2 |
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