A327310 a(n) = floor(3*n*r) - 3*floor(n*r), where r = sqrt(8).

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

Offset

0,2

Links

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

Formula

a(n) = floor(3*n*r) - 3*floor(n*r), where r = sqrt(8).

a(n) is in {0, 1, 2} for all n. - Charles R Greathouse IV, Mar 11 2026

Mathematica

r = Sqrt[8]; z = 300;
t = Table[Floor[3 n*r] - 3 Floor[n*r], {n, 0, z}]

Prog

(PARI) a(n)=sqrtint(72*n^2)-3*sqrtint(8*n^2) \\ Charles R Greathouse IV, Mar 11 2026

Crossrefs

The positions of 0's, 1's and 2's in {a(n) : n > 0} are given by A327311, A327312 and A327313.

Sequence in context: A026921 A198568 A394741 * A232539 A157044 A182748

Adjacent sequences: A327307 A327308 A327309 * A327311 A327312 A327313

Keyword

nonn,easy

Author

Clark Kimberling, Sep 07 2019

Status

approved