A327306 a(n) = floor(3*n*r) - 3*floor(n*r), where r = sqrt(6).

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

Offset: 0

Author

Clark Kimberling, Sep 07 2019

Keywords

• nonn
• easy

Links

• Clark Kimberling, Table of n, a(n) for n = 0..10000

Crossrefs

The positions of 0's, 1's and 2's in {a(n) : n > 0} are given by A327307, A327308 and A327309.

Cf. A022840.

Programs

Mathematica

r = Sqrt[6]; z = 300;
t = Table[Floor[3 n*r] - 3 Floor[n*r], {n, 0, z}]

Python

from math import isqrt
def A327306(n): return isqrt(9*(m:=6*n*n))-3*isqrt(m) # Chai Wah Wu, Aug 04 2022

Formula

a(n) = floor(3*n*r) - 3*floor(n*r), where r = sqrt(6).