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A125122 First differences of A034888. 2
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

This sequence is not periodic because log(3)/log(10) is an irrational number. - T. D. Noe, Jan 10 2007

LINKS

Table of n, a(n) for n=0..104.

FORMULA

a(n)=Number_of_digits{3^(n+1)}-Number_of digits{3^(n)} with n>=0.

EXAMPLE

a(1)=0 because 3^(1+1)=9 (one digit) 3^1=3 (one digit) and the difference is 0

a(4)=1 because 3^(4+1)=243 (three digits) 3^(4)=81 (two digits) and the difference is 1

MAPLE

P:=proc(n) local i, j, k, w, old; k:=3; for i from 1 by 1 to n do j:=k^i; w:=0; while j>0 do w:=w+1; j:=trunc(j/10); od; if i>1 then print(w-old); old:=w; else old:=w; fi; od; end: P(1000);

MATHEMATICA

Differences[IntegerLength[3^Range[0, 110]]] (* Harvey P. Dale, Jan 28 2015 *)

CROSSREFS

Sequence in context: A061265 A139312 A173923 * A000035 A188510 A131734

Adjacent sequences:  A125119 A125120 A125121 * A125123 A125124 A125125

KEYWORD

easy,nonn,base

AUTHOR

Paolo P. Lava and Giorgio Balzarotti, Jan 10 2007

STATUS

approved

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Last modified February 20 10:45 EST 2018. Contains 299385 sequences. (Running on oeis4.)