A190191 - OEIS

A190191

a(n) = [n*u+n*v]-[n*u]-[n*v], where u=sqrt(2), v=1/u, and []=floor.

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

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OFFSET

LINKS

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

MATHEMATICA

u = 2^(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}] (* A190191 *)

Flatten[Position[t, 0]] (* A190192 *)

Flatten[Position[t, 1]] (* A190193 *)

PROG

(PARI) for(n=1, 30, print1(floor(n*(sqrt(2) + 1/sqrt(2))) - floor(n*sqrt(2)) - floor(n/sqrt(2)), ", ")) \\ G. C. Greubel, Dec 28 2017