A188395 a(n) = [n*r +k*r]-[n*r]-[k*r], where r=1/sqrt(2), k=4, [ ]=floor.

1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 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+4*r]-[n*r]-[4*r], where r=1/sqrt(2).

Mathematica

r=2^(-1/2); k=4;
t=Table[Floor[n*r+k*r]-Floor[n*r]-Floor[k*r], {n, 1, 220}]   (* A188395 *)
Flatten[Position[t, 0] ]   (* A188396 *)
Flatten[Position[t, 1] ]   (* A188397 *)

Prog

(PARI) for(n=1, 100, print1(floor((n+4)/sqrt(2)) - floor(n/sqrt(2)) - floor(4/sqrt(2)), ", ")) \\ G. C. Greubel, Apr 25 2018
(Magma) [Floor((n+4)/Sqrt(2)) - Floor(n/Sqrt(2)) - Floor(4/Sqrt(2)): n in [1..100]]; // G. C. Greubel, Apr 25 2018

Crossrefs

Cf. A187950.

Sequence in context: A364250 A289748 A127254 * A266678 A267936 A263013

Adjacent sequences: A188392 A188393 A188394 * A188396 A188397 A188398

Keyword

nonn

Author

Clark Kimberling, Mar 30 2011

Status

approved