

A118736


Number of zeros in binary expansion of 3^n.


0



0, 0, 2, 1, 4, 2, 4, 7, 7, 7, 7, 5, 10, 10, 9, 9, 15, 13, 15, 14, 15, 14, 16, 15, 23, 22, 18, 13, 20, 21, 23, 24, 25, 19, 25, 24, 31, 25, 25, 30, 36, 26, 29, 30, 36, 38, 28, 37, 36, 45, 39, 35, 41, 50, 47, 46, 50, 51, 50, 46, 40, 41, 50, 43, 46, 53, 60, 60, 53, 55, 47, 45, 57, 58
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OFFSET

0,3


LINKS

Table of n, a(n) for n=0..73.
Taylor Dupuy, David E. Weirich, Bits of 3^n in binary, Wieferich primes and a conjecture of Erdős, Journal of Number Theory, Volume 158, January 2016, Pages 268280.


MATHEMATICA

f[n_] := DigitCount[3^n, 2, 0]; Table[f[n], {n, 0, 73}] (* Ray Chandler, Sep 29 2006 *)


PROG

(PARI) a(n) = #select(x>(x==0), binary(3^n)); \\ Michel Marcus, Apr 14 2020


CROSSREFS

Cf. A011754 (number of ones in binary expansion of 3^n).
Sequence in context: A233521 A035685 A205509 * A201161 A105474 A216568
Adjacent sequences: A118733 A118734 A118735 * A118737 A118738 A118739


KEYWORD

base,nonn


AUTHOR

Zak Seidov, May 22 2006


STATUS

approved



