A190210 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

OFFSET

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