A188044 a(n) = [n*r] - [k*r] - [n*r-k*r], where r=sqrt(2), k=4, [ ]=floor.

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

Mathematica

r=2^(1/2); k=4;
t=Table[Floor[n*r]-Floor[(n-k)*r]-Floor[k*r], {n, 1, 220}]   (* A188044 *)
Flatten[Position[t, 0]]  (* A188045 *)
Flatten[Position[t, 1]]  (* A188046 *)

Prog

(PARI) for(n=1, 100, print1(floor(n*sqrt(2)) - floor(4*sqrt(2)) - floor((n-4)*sqrt(2)), ", ")) \\ G. C. Greubel, Apr 13 2018 *)
(Magma) [Floor(n*Sqrt(2)) - Floor(4*Sqrt(2)) - Floor((n-4)*Sqrt(2)): n in [1..100]]; // G. C. Greubel, Apr 13 2018

Crossrefs

Cf. A188014, A187972.

Sequence in context: A244220 A283963 A131670 * A287523 A288932 A155482

Adjacent sequences: A188041 A188042 A188043 * A188045 A188046 A188047

Keyword

nonn

Author

Clark Kimberling, Mar 19 2011

Status

approved