Finding the Sequence Number for the
Fibonacci Sequence by working backwards. First go to the OEIS website, go to the
page for sequence A000045 (www.oeis.org/A00045 ), and copy all of the terms of the Fibonacci Sequence that are 6 digits or less. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55,
89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040 Then add zeros as needed so that each
term has 6 digits,000000, 000001, 000001, 000002, 000003,
000005, 000008, 000013, 000021, 000034, 000055, 000089, 000144, 000233, 000377, 000610, 000987, 000597, 002584, 004181, 006765, 010946, 017711, 028657, 046368, 075025, 121393, 196418, 317811, 514229, 832040 Next take out the commas and spaces,
put a “0.” in front, and take the inverse (raise it to the -1 power). 0.0000000000010000010000020000030000050000080000130000210000340000550000890001440002330003770006100009 870015970025840041810067650109460177110286570463680 75025121393196418317811514229832040^-1 Take this over to the Wolfram Alpha
website to do our calculation (www.wolframalpha.com ). Just put the expression above into the blank box at the top of the page and hit “enter”. The result is:9.999989999990000000000000000000000000000000000000000000... × 10^11 Which equals 999998999999. This is a sequence number that produces the Fibonacci Sequence in six digit strings. |

Finding the Sequence Number for the
Pentanacci Numbers (A001591) Copy the terms of the Pentanacci
Sequence up through all of the six digit terms. 0, 0, 0, 0, 1, 1, 2, 4, 8, 16, 31, 61,
120, 236, 464, 912, 1793,3525, 6930, 13624, 26784, 52656, 103519, 203513, 400096, 786568 Add zeros to make every term six
digits, take out the commas and spaces, add a “0.” on the front, and take the inverse. 0.0000000000000000000000000000010000010000020000040000080000160000310000610001200002360004640009120017 930035250069300136240267840526561035192035134000967 86568^-1 Do the calculation.9.999989999989999989999989999990000000000000000000000000... × 10^29 Which equals: 999998999998999998999998999999. This sequence number produces the Pentanacci Sequence written in six digit strings. Other sequence numbers related to this one will produce longer string and more terms if needed or desired. 999999999998999999999998999999999998999999999998999 999999999 will produce terms in 12 digit terms, about twice as many terms as the previous number. |

David

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