A300069 - OEIS

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A300069

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

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

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

OFFSET

0,5

COMMENTS

Underlying A174257(n+1), n >= 0.

LINKS

Table of n, a(n) for n=0..83.

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

FORMULA

a(n) = floor((n (mod 6))/3) + floor((n + 1 (mod 6))/5), n >= 0.

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

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