A131017 - OEIS

A131017

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

1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2

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

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..116.

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

FORMULA

|a(n)| = A131718(n).

a(n) = A131717(n+1) - A131717(n).

O.g.f.: (1+x+2*x^2-x^3+2*x^4+x^5)/((1-x)*(1+x)*(x^2+x+1)*(x^2-x+1)). - R. J. Mathar, Jul 07 2008

a(n) = (3+2*(-1)^n+cos(n*Pi/3)-3*cos(n*Pi/3)^2+3*sin(n*Pi/3)^2)/3. - Wesley Ivan Hurt, Jun 24 2022

MATHEMATICA