A190207 a(n) = [n*u + n*v] - [n*u] - [n*v], where u=sqrt(7), v=1/u, and []=floor.

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

Offset

1

Links

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

Mathematica

u = 7^(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}] (* A190207 *)
Flatten[Position[t, 0]]      (* A190208 *)
Flatten[Position[t, 1]]      (* A190209 *)

Prog

(PARI) for(n=1, 30, print1(floor(n*(sqrt(7) + 1/sqrt(7))) - floor(n*sqrt(7)) - floor(n/sqrt(7)), ", ")) \\ G. C. Greubel, Dec 27 2017
(Magma) [Floor(n*(Sqrt(7) + 1/Sqrt(7))) - Floor(n*Sqrt(7)) - Floor(n/Sqrt(7)): n in [1..30]]; // G. C. Greubel, Dec 27 2017

Crossrefs

Cf. A190208, A190209.

Sequence in context: A179775 A341952 A167686 * A156706 A075743 A136705

Adjacent sequences: A190204 A190205 A190206 * A190208 A190209 A190210

Keyword

nonn

Author

Clark Kimberling, May 05 2011

Status

approved