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Search: id:A060460
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| A060460 |
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Consider the final n decimal digits of 2^j for all values of j. They are periodic. Sequence gives position (or phase) of the maximal value seen in these n digits. |
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+0
2
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| 3, 12, 53, 254, 1255, 6256, 31257, 156258, 781259, 3906260, 19531261, 97656262, 488281263, 2441406264, 12207031265, 61035156266, 305175781267, 1525878906268, 7629394531269, 38146972656270, 190734863281271
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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Index entries for sequences related to final digits of numbers
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FORMULA
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a(1)=3, a[n]=5*a(n-1)-[3+4*(n-1)] a(2)=5*3-[3+4*0]=15-3=12, etc..
2*5^n + n + 1.
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EXAMPLE
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n=2, the last 2 digits of powers of 2 have the period {2,4,8,16,32,64,28,56,12,24,48,96,92,84,68,36,72,44,88,76,52,4,8,16,32} displayed in A000855. Last n digits of 2^a(n) are predictable if maximal values of periods are known. The maximum is 96 and it occurs at 2^12=4096. So a(2)=12.
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CROSSREFS
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Cf. A000079, A000855, A005054, A060458.
Sequence in context: A138269 A026781 A110122 this_sequence A120983 A124810 A123348
Adjacent sequences: A060457 A060458 A060459 this_sequence A060461 A060462 A060463
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KEYWORD
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base,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 09 2001
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