A190210 a(n) = [n*u + n*v] - [n*u] - [n*v], where u=sqrt(8), v=1/u, and []=floor.

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

Offset

1

Links

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

Mathematica

u = 8^(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}] (* A190210 *)
Flatten[Position[t, 0]]      (* A190211 *)
Flatten[Position[t, 1]]      (* A190212 *)

Prog

(PARI) for(n=1, 30, print1(floor(n*(sqrt(8) + 1/sqrt(8))) - floor(n*sqrt(8)) - floor(n/sqrt(8)), ", ")) \\ G. C. Greubel, Dec 27 2017
(Magma) [Floor(n*(Sqrt(8) + 1/Sqrt(8))) - Floor(n*Sqrt(8)) - Floor(n/Sqrt(8)): n in [1..30]]; // G. C. Greubel, Dec 27 2017

Crossrefs

Cf. A180211, A180212, A190191.

Sequence in context: A328100 A332479 A362460 * A014394 A014779 A014464

Adjacent sequences: A190207 A190208 A190209 * A190211 A190212 A190213

Keyword

nonn

Author

Clark Kimberling, May 05 2011

Status

approved