A190245 a(n) = [nu+nv]-[nu]-[nv], where u=sqrt(2), v=2u, and []=floor.

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

Offset

1

Links

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

Mathematica

u = 2^(1/2); v = 2u;
f[n_] := Floor[n*u + n*v] - Floor[n*u] - Floor[n*v]
t = Table[f[n], {n, 1, 120}] (*A190245*)
Flatten[Position[t, 0]]      (*A190246*)
Flatten[Position[t, 1]]      (*A190247*)

Prog

(PARI) for(n=1, 30, print1(floor(3*n*sqrt(2)) - floor(n*sqrt(2)) - floor(2*n*sqrt(2)), ", ")) \\ G. C. Greubel, Dec 26 2017
(Magma) [Floor(3*n*Sqrt(2)) - Floor(n*Sqrt(2)) - Floor(2*n*Sqrt(2)): n in [1..30]]; // G. C. Greubel, Dec 26 2017

Crossrefs

Cf. A190246, A190247.

Sequence in context: A016330 A085002 A170966 * A328100 A332479 A362460

Adjacent sequences: A190242 A190243 A190244 * A190246 A190247 A190248

Keyword

nonn

Author

Clark Kimberling, May 06 2011

Status

approved