A131716 - OEIS

A131716

Period 6: repeat [0, 1, 2, 5, 8, 9].

0, 1, 2, 5, 8, 9, 0, 1, 2, 5, 8, 9, 0, 1, 2, 5, 8, 9, 0, 1, 2, 5, 8, 9, 0, 1, 2, 5, 8, 9, 0, 1, 2, 5, 8, 9, 0, 1, 2, 5, 8, 9, 0, 1, 2, 5, 8, 9, 0, 1, 2, 5, 8, 9, 0, 1, 2, 5, 8, 9, 0, 1, 2, 5, 8, 9, 0, 1, 2, 5, 8, 9, 0, 1, 2, 5, 8, 9, 0, 1, 2, 5, 8, 9, 0, 1

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..85.

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

FORMULA

From Wesley Ivan Hurt, Jun 19 2016: (Start)

G.f.: x*(1+2*x+5*x^2+8*x^3+9*x^4)/(1-x^6).

a(n) = a(n-6) for n>5.

a(n) = (25 - 5*cos(n*Pi) - 10*cos(n*Pi/3) - 10*cos(2*n*Pi/3) - 14*sqrt(3)*sin(n*Pi/3) - 2*sqrt(3)*sin(2*n*Pi/3))/6. (End)

MAPLE