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A158333 Position of number of digits increment in the sequence of powers of 3. +0
1
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 112, 114, 116, 118, 120, 122, 124, 126, 128, 130, 133, 135 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=1+Floor(n/Log_10(3)) = 1+A054965(n).

EXAMPLE

For n=1 a(1)=3 since the sequence of powers of 3 is 1, 3, 9, 27, 81, 243, 729 and numbers of digits increase at position 1,3,5,...

MATHEMATICA

a[x_] := 1 + Floor[x/Log[10, 3]] Table[a[i], {i, 0, 20}]

CROSSREFS

A123384

Sequence in context: A161957 A082720 A033037 this_sequence A062505 A093031 A143452

Adjacent sequences: A158330 A158331 A158332 this_sequence A158334 A158335 A158336

KEYWORD

nonn,base

AUTHOR

Julio Cesar de la Yncera (ynceraj(AT)gmail.com), Mar 16 2009

EXTENSIONS

Adjusted indices in offset, example and formula. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 21 2009

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), May 29 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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