A007945 - OEIS

A007945

Expansion of g.f. (2-x-2*x^2)/((1-x)*(1-x+x^2)).

2, 3, 0, -4, -5, -2, 2, 3, 0, -4, -5, -2, 2, 3, 0, -4, -5, -2, 2, 3, 0, -4, -5, -2, 2, 3, 0, -4, -5, -2, 2, 3, 0, -4, -5, -2, 2, 3, 0, -4, -5, -2, 2, 3, 0, -4, -5, -2, 2, 3, 0, -4, -5, -2, 2, 3, 0, -4, -5, -2, 2, 3, 0, -4, -5, -2, 2, 3, 0, -4, -5, -2, 2, 3, 0, -4, -5, -2, 2, 3

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OFFSET

0,1

COMMENTS

A period 6 sequence. - Christian Krause, Dec 07 2023

LINKS

Table of n, a(n) for n=0..79.

Index entries for linear recurrences with constant coefficients, signature (2,-2,1).

FORMULA

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

a(n) = a(n-1) - a(n-2) - 1. - Christian Krause, Dec 07 2023

a(n) = 5*sin(n*Pi/3)/sqrt(3) + 3*cos(n*Pi/3) - 1. - Wesley Ivan Hurt, Dec 09 2023