A190204 a(n) = [n*u + n*v] - [n*u] - [n*v], where u=sqrt(6), v=1/u, and []=floor.

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

Offset

1

Links

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

Mathematica

u = 6^(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}] (* A190204 *)
Flatten[Position[t, 0]]      (* A190205 *)
Flatten[Position[t, 1]]      (* A190206 *)

Prog

(PARI) for(n=1, 30, print1(floor(n*(sqrt(6) + 1/sqrt(6))) - floor(n*sqrt(6)) - floor(n/sqrt(6)), ", ")) \\ G. C. Greubel, Dec 27 2017
(Magma) [Floor(n*(Sqrt(6) + 1/Sqrt(6))) - Floor(n*Sqrt(6)) - Floor(n/Sqrt(6)): n in [1..30]]; // G. C. Greubel, Dec 27 2017

Crossrefs

Cf. A190205, A190206.

Sequence in context: A189008 A353681 A285515 * A189028 A301850 A189031

Adjacent sequences: A190201 A190202 A190203 * A190205 A190206 A190207

Keyword

nonn

Author

Clark Kimberling, May 05 2011

Status

approved