A022924 Number of 3^m between 2^n and 2^(n+1).

0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1

Offset

0,1

Comments

This is a Sturmian sequence; consider the straight line of equation y = x*log(3)/log(2), the sequence gives the number m of integer ordinate points between the abscissa points n and n+1. - Richard Aime Blavy, Jun 14 2020

Links

David A. Corneth, Table of n, a(n) for n = 0..9999

Prog

(PARI) a(n) = logint(2^(n+1), 3)-logint(2^n, 3) \\ Charles R Greathouse IV, Jan 16 2017

Crossrefs

Cf. A136409 (partial sums).

First differences of A020915.

Sequence in context: A174282 A189301 A123640 * A295893 A157412 A023532

Adjacent sequences: A022921 A022922 A022923 * A022925 A022926 A022927

Keyword

nonn

Author

Clark Kimberling

Status

approved