A300067 - OEIS

A300067

Period 6: repeat [0, 0, 0, 1, 2, 2].

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

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

OFFSET

0,5

COMMENTS

Used for A300068.

LINKS

Table of n, a(n) for n=0..113.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1).

FORMULA

a(n) = floor((n (mod 6))/3) + floor((n (mod 6))/4), n >= 0.

G.f.: x^3*(1 + 2*x + 2*x^2)/(1 - x^6).

a(n) = (5 - 2*cos(n*Pi/3) - 2*cos(2*n*Pi/3) - cos(n*Pi) - 4*sqrt(3)*sin(n*Pi/3))/6. - Wesley Ivan Hurt, Oct 04 2018