A Bunch of Examples of Counting and Multiplication Sequens Numbers

10/09/2015

Sequence Numbers:

Counting and Multiplication Sequences Numbers

By David Brooks

999,998,000,001 is a sequence number that counts.  Its terms are written in six digit strings.  The sequence counts from zero (000000) up to 999,997 without error, then it skips 999,998, and does 999,999.  After that the decimal expansion begins repeating this sequence.  This counting sequence can also be described as the ones times table (0 * 1, 2 * 1, 3 * 1, etc.). 1/999998000001 = 0.  000000  000001  000002  000003  000004  000005  000006  000007  000008  000009  000010  000011  000012  000013  …

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). 1/499999000000500000 = 0.  000000  000000  000002  000004  000006  000008  000010  000012  000014  000016  000018  000020  000022  000024  000026  000028  000030  …

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  …

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  …

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  …

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  …

142,856,857,143 is a Sequence Number that produces a decimal expansion that counts by sevens, or shows the sevens times table. 1/142856857143 = 0.  000000  000007  000014  000021  000028  000035  000042  000049  000056  …

124,999,750,000,125,000 is a Sequence Number that produces a decimal expansion that counts by eights, or shows the eights times table. 1/124999750000125000 = 0.  000000  000000  000008  000016  000024  000032  000040  000048  000056  …

111,110,888,889 is a Sequence Number that produces a decimal expansion that counts by nines, or shows the nines times table. 1/111110888889 = 0.  000000  000009  000018  000027  000036  000045  000054  000063  000072  000081  …

99,999,800,000,100,000 is a Sequence Number that produces a decimal expansion that count by tens, or shows the tens times table. 1/99999800000100000 = 0.  000000  000000  000010  000020  000030  000040  000050  000060  000070  …

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  …

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  …

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  …

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  …

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  …

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  …

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  …

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  …

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  …

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  ..

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  …

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  …

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  …

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  …

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  …

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  …

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  …

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  …

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  ...

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  …

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  ...

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  …

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  ...

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  ...

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  ...

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  ...

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  ...

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. 1/26315789473684210473684210526315789500000000000000000 = 0.  000000000000000000  000000000000000000  000000000000000038  000000000000000076  000000000000000114  000000000000000152  000000000000000190  000000000000000228  000000000000000266  000000000000000304  000000000000000342  ...

25,640,974,359,000,000 is a Sequence Number that produces a decimal expansion the counts by 39, or shows the 39 times table. 1/25640974359000000 = 0.  000000  000000  000039  000078  000117  000156  000195  000234  000273  000312  000351  000390  ...

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  ...

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  ...

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  …

1/23,255,813,953,488,372,092,976,744,186,046,511,627,907 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  …

1/22,727,227,272,750,000 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  …

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  …

2,173,913,043,47,826,086,956,478,260,869,565,217,,391,304,350 ,000,000,000,000,000,000,000 is a Sequence Number that produces a decimal expansion the counts by 46, or shows the 46 times table. 1/21739130434782608695647826086956521739130435000000000 0000000000000 = 0.  0000000000000000000000  0000000000000000000000  0000000000000000000046  0000000000000000000092  0000000000000000000138  0000000000000000000184  0000000000000000000230  0000000000000000000276  0000000000000000000322  0000000000000000000368  0000000000000000000414  0000000000000000000460  …

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 48, or shows the 48 times table. 1/21276595744680851063829787234042553191489361697872 34042553191489361702127659574468085106383 = 0.  0000000000000000000000000000000000000000000000  0000000000000000000000000000000000000000000047  0000000000000000000000000000000000000000000094  0000000000000000000000000000000000000000000141  0000000000000000000000000000000000000000000188  0000000000000000000000000000000000000000000235  0000000000000000000000000000000000000000000282  0000000000000000000000000000000000000000000329  0000000000000000000000000000000000000000000376  0000000000000000000000000000000000000000000423  0000000000000000000000000000000000000000000470  …

1/20,833,291,666,687,500 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  …

20,408,122,449 is a Sequence Number that produces a decimal expansion the counts by 49, or shows the 49 times table. 1/20,408,122,449,000,000 = 0.  000000  000049  000098  000147  000196  000245  000294 000343  000392  000441  000490  ...

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  00010  000015  000020  000025  000030  000035  000040  000045  000050  ...

 David