A188398 a(n) = [n*r+k*r] - [n*r] - [k*r], where r=1/sqrt(2), k=5, [ ]=floor.

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

Offset

1

Comments

See A187950.

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Formula

a(n) = [n*r+5*r] - [n*r] - [5*r], where r=1/sqrt(2).

Mathematica

r=2^(-1/2); k=5;
t=Table[Floor[n*r+k*r]-Floor[n*r]-Floor[k*r], {n, 1, 220}]   (* A188398 *)
Flatten[Position[t, 0] ]   (* A188399 *)
Flatten[Position[t, 1] ]   (* A188265 *)

Prog

(PARI) for(n=1, 100, print1(floor((n+5)/sqrt(2)) - floor(n/sqrt(2)) - floor(5/sqrt(2)), ", ")) \\ G. C. Greubel, Apr 11 2018
(Magma) [Floor((n+5)/Sqrt(2)) - Floor(n/Sqrt(2)) - Floor(5/Sqrt(2)): n in [1..100]]; // G. C. Greubel, Apr 11 2018

Crossrefs

Cf. A187950, A188399, A188265.

Sequence in context: A359422 A356161 A187074 * A288929 A285083 A266982

Adjacent sequences: A188395 A188396 A188397 * A188399 A188400 A188401

Keyword

nonn

Author

Clark Kimberling, Mar 30 2011

Status

approved