A188321 a(n) = [n*r] - [k*r] - [n*r-k*r], where r=1/sqrt(2), k=5, [ ]=floor.

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, 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, 0, 1, 1

Offset

1

Comments

See A188014.

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]-Floor[(n-k)*r]-Floor[k*r], {n, 1, 220}]   (*A188321*)
Flatten[Position[t, 0]]  (*A188322*)
Flatten[Position[t, 1]]  (*A188323*)

Prog

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

Crossrefs

Cf. A188014, A188322, A188323.

Sequence in context: A189476 A288752 A189706 * A257628 A203568 A327974

Adjacent sequences: A188318 A188319 A188320 * A188322 A188323 A188324

Keyword

nonn

Author

Clark Kimberling, Mar 28 2011

Status

approved