A187969 a(n) = [nr+kr]-[nr]-[kr], where r=sqrt(2), k=3, [ ]=floor.

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

Offset

1

Comments

See A187950.

Links

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

Formula

a(n) = [(n+3)*r] - [n*r] - [3*r], where r=sqrt(2).

Mathematica

r=2^(1/2);
seqA=Table[Floor[(n+3)r]-Floor[n*r]-Floor[3r], {n, 1, 220}]   (* A187969 *)
Flatten[Position[seqA, 0] ]   (* A187970 *)
Flatten[Position[seqA, 1] ]   (* A187971 *)

Prog

(PARI) for(n=1, 30, print1(floor((n+3)*sqrt(2)) - floor(n*sqrt(2)) - floor(3*sqrt(2)), ", ")) \\ G. C. Greubel, Jan 31 2018
(Magma) [Floor((n+3)*Sqrt(2)) - Floor(n*Sqrt(2)) - Floor(3*Sqrt(2)): n in [1..30]]; // G. C. Greubel, Jan 31 2018

Crossrefs

Cf. A187950, A187970, A187971.

Sequence in context: A369968 A288673 A030213 * A132151 A370124 A238469

Adjacent sequences: A187966 A187967 A187968 * A187970 A187971 A187972

Keyword

nonn

Author

Clark Kimberling, Mar 17 2011

Status

approved