A188371 a(n) = [n*r] - [k*r] - [n*r-k*r], where r=1/sqrt(2), k=6, [ ]=floor.

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

Offset

1

Comments

See A188014.

Links

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

Formula

a(n) = [n*r] - [6*r] - [n*r-6*r], where r=1/sqrt(2).

Mathematica

r=2^(-1/2); k=6;
t=Table[Floor[n*r]-Floor[(n-k)*r]-Floor[k*r], {n, 1, 220}]   (*A188371*)
Flatten[Position[t, 0]]  (*A188372*)
Flatten[Position[t, 1]]  (*A188373*)

Prog

(PARI) for(n-1, 100, print1(floor(n/sqrt(2)) - floor(6/sqrt(2)) - floor((n - 6)/sqrt(2)), ", ")) \\ G. C. Greubel, Apr 11 2018
(Magma) [Floor(n/Sqrt(2)) - Floor(6/Sqrt(2)) - Floor(n-6)/Sqrt(2)): n in [1..100]]; // G. C. Greubel, Apr 11 2018

Crossrefs

Cf. A188014, A188372, A188373.

Sequence in context: A289016 A289104 A289235 * A353489 A288106 A286939

Adjacent sequences: A188368 A188369 A188370 * A188372 A188373 A188374

Keyword

nonn

Author

Clark Kimberling, Mar 29 2011

Status

approved