A276394 Characteristic word associated with the fraction 36/25.

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

Offset

0

Links

Table of n, a(n) for n=0..147.

Aviezri S. Fraenkel, Mordechai Mushkin, and Uzi Tassa, Determination of floor(n*theta) by its sequence of differences, Canad. Math. Bull 21:4 (1978), pp. 441-446.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).

Formula

Equals (0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0) repeated.

a(n) = floor((n+2)*r) - floor((n+1)*r) - 1, where r = 36/25. - Ridouane Oudra, Nov 22 2024

Maple

seq(floor(36*(n+2)/25)-floor(36*(n+1)/25)-1, n=0..100); # Ridouane Oudra, Nov 22 2024

Prog

(PARI) a(n)=[0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0][n%25+1] \\ Charles R Greathouse IV, Sep 09 2016

Crossrefs

Same start as A215532 but different.

Sequence in context: A061265 A288466 A285073 * A215532 A191152 A139312

Adjacent sequences: A276391 A276392 A276393 * A276395 A276396 A276397

Keyword

nonn,easy

Author

N. J. A. Sloane, Sep 09 2016

Status

approved