A190242 - OEIS

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A190242

a(n) = [n*u+n*v]-[n*u]-[n*v], where u=sqrt(2), v=sqrt(3), and []=floor.

1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 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 = 3^(1/2);

f[n_] := Floor[n*u + n*v] - Floor[n*u] - Floor[n*v]

t = Table[f[n], {n, 1, 120}] (*A190242*)

Flatten[Position[t, 0]] (*A190243*)

Flatten[Position[t, 1]] (*A190244*)

PROG

(PARI) for(n=1, 30, print1(floor(n*(sqrt(2) + sqrt(3))) - floor(n*sqrt(2)) - floor(n*sqrt(3)), ", ")) \\ G. C. Greubel, Dec 26 2017