A187972 a(n) = [nr+kr]-[nr]-[kr], where r=sqrt(2), k=4, [ ]=floor.

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

Offset

1

Comments

See A187950.

Links

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

Formula

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

Mathematica

r=2^(1/2);
seqA=Table[Floor[(n+4)r]-Floor[n*r]-Floor[4r], {n, 1, 220}]   (* A187972 *)
Flatten[Position[seqA, 0] ]   (* A187973 *)
Flatten[Position[seqA, 1] ]   (* A187974 *)

Prog

(PARI) for(n=1, 30, print1(floor((n+4)*sqrt(2)) - floor(n*sqrt(2)) - floor(4*sqrt(2)), ", ")) \\  G. C. Greubel, Jan 31 2018
(Magma) [Floor((n+4)*Sqrt(2)) - Floor(n*Sqrt(2)) - Floor(4*Sqrt(2)): n in [1..30]]; // G. C. Greubel, Jan 31 2018

Crossrefs

Cf. A187950, A187973, A187974.

Sequence in context: A189163 A189129 A267269 * A248396 A285952 A371691

Adjacent sequences: A187969 A187970 A187971 * A187973 A187974 A187975

Keyword

nonn

Author

Clark Kimberling, Mar 17 2011

Status

approved