A190198 a(n) = [n*u+n*v]-[n*u]-[n*v], where u=sqrt(3), v=1/u, and []=floor.

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

Offset

1

Links

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

Mathematica

u = 3^(1/2); v = 1/u;
f[n_] := Floor[n*u + n*v] - Floor[n*u] - Floor[n*v]
t = Table[f[n], {n, 1, 120}] (* A190198 *)
Flatten[Position[t, 0]]      (* A190199 *)
Flatten[Position[t, 1]]      (* A190200 *)

Prog

(PARI) for(n=1, 30, print1(floor(n*(sqrt(3) + 1/sqrt(3))) - floor(n*sqrt(3)) - floor(n/sqrt(3)), ", ")) \\ G. C. Greubel, Dec 28 2017
(Magma) [Floor(n*(Sqrt(3) + 1/Sqrt(3))) - Floor(n*Sqrt(3)) - Floor(n/Sqrt(3)): n in [1..30]]; // G. C. Greubel, Dec 28 2017

Crossrefs

Cf. A190199, A190200.

Sequence in context: A188093 A190843 A287772 * A071004 A188083 A102560

Adjacent sequences: A190195 A190196 A190197 * A190199 A190200 A190201

Keyword

nonn

Author

Clark Kimberling, May 05 2011

Status

approved