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Search: id:A060458
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| A060458 |
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Consider the final n decimal digits of 2^j for all values of j. They are periodic. Sequence gives maximal value seen in these n digits. |
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+0
3
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| 8, 96, 992, 9984, 99968, 999936, 9999872, 99999744, 999999488, 9999998976, 99999997952, 999999995904, 9999999991808, 99999999983616, 999999999967232, 9999999999934464, 99999999999868928, 999999999999737856
(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(n)=10^n-2^n=2^n*(5^n-1)
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EXAMPLE
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Maximum of the last 4 digits of powers of 2 is 9984=10000-16. It occurs at 2^254. 2^254=289480223.....01978282409984 (with 77 digits,last 4 ones are ...9984); The period length of the last-4-digit segment is A005054(4)=500. For n=4 period:amplitude=9984,phase=254.
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PROGRAM
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(Other) sage: [10^n - 2^n for n in xrange(1, 19)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 05 2009]
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CROSSREFS
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Cf. A000079, A005054, A060460.
A016134 [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 05 2009]
Sequence in context: A069650 A066424 A099675 this_sequence A098430 A034177 A052570
Adjacent sequences: A060455 A060456 A060457 this_sequence A060459 A060460 A060461
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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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