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A129344 a(n) is the number of powers of 2 that have n decimal digits. 1
4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

EXAMPLE

a(1) is 4 because there are 4 one-digit powers of 2: 1, 2, 4, 8.

MATHEMATICA

Table[Transpose[ Select[Table[{n, 2^n}, {n, 0, 310}], IntegerDigits[ #[[2]]][[1]] == 1 &]][[1]][[k]] - Transpose[ Select[Table[{n, 2^n}, {n, 0, 310}], IntegerDigits[ #[[2]]][[1]] == 1 &]][[1]][[k - 1]], {k, 2, 94}]

CROSSREFS

The difference of A067497 - Smallest power of 2 with n+1 digits (n>=0). Also n such that 1 is the first digit of 2^n.

Sequence in context: A059124 A026858 A188885 * A048853 A179845 A180217

Adjacent sequences:  A129341 A129342 A129343 * A129345 A129346 A129347

KEYWORD

base,nonn

AUTHOR

Tanya Khovanova (tanyakh(AT)yahoo.com), May 28 2007

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.