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A034887 Number of digits in 2^n. +0
5
1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19 (list; graph; listen)
OFFSET

0,5

LINKS

Eric Weisstein's World of Mathematics, Mersenne Number

FORMULA

a(n) = floor(n*ln(2)/ln(10)) + 1. E.g. a(10)=4 because 2^10=1024 and floor(10*ln(2)/ln(10)+1=3+1=4 - Jaap Spies (j.spies(AT)hccnet.nl), Dec 11 2003

MAPLE

seq(floor(n*ln(2)/ln(10))+1, n=0..100); (from J. Spies)

MATHEMATICA

Table[Length[IntegerDigits[DivisorSigma[w, 2]]], {w, 0, 63}] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 25 2007

CROSSREFS

Cf. A055253, A055254.

Sequence in context: A046155 A137214 A081832 this_sequence A082964 A099741 A047743

Adjacent sequences: A034884 A034885 A034886 this_sequence A034888 A034889 A034890

KEYWORD

nonn,base,easy

AUTHOR

njas

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Last modified July 25 02:12 EDT 2008. Contains 142294 sequences.


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