A189463 a(n) = [3*n*r] - 3*[n*r], where r=sqrt(5).

0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2

Offset: 1

Author

Clark Kimberling, Apr 22 2011

Keywords

• nonn

Links

• Ivan Panchenko, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A189464, A189465, A190158.

Programs

Magma

[Floor(3*n*Sqrt(5)) - 3*Floor(n*Sqrt(5)): n in [1..30]]; // G. C. Greubel, Dec 28 2017

Mathematica

r = 5^(1/2);
f[n_] := Floor[3 n*r] - 3*Floor[n*r];
t = Table[f[n], {n, 1, 220}] (* A189463 *)
Flatten[Position[t, 0]]   (* A189464 *)
Flatten[Position[t, 1]]   (* A189465 *)
Flatten[Position[t, 2]]   (* A190158 *)

PARI

for(n=1,30, print1(floor(3*n*sqrt(5)) - 3*floor(n*sqrt(5)), ", ")) \\ G. C. Greubel, Dec 28 2017