A305002 - OEIS

A305002

Expansion of (1 + 20*x + 30*x^2 + 50*x^3 + 7*x^4 + 10*x^5)/((1 - x)*(1 + x^4)).

1, 21, 51, 101, 107, 97, 67, 17, 11, 21, 51, 101, 107, 97, 67, 17, 11, 21, 51, 101, 107, 97, 67, 17, 11, 21, 51, 101, 107, 97, 67, 17, 11, 21, 51, 101, 107, 97, 67, 17, 11, 21, 51, 101, 107, 97, 67, 17, 11, 21, 51, 101, 107, 97, 67, 17, 11, 21, 51, 101, 107, 97, 67, 17, 11, 21, 51

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OFFSET

0,2

COMMENTS

After the first term, the sequence is periodic with period 8: repeat {21, 51, 101, 107, 97, 67, 17, 11}.

LINKS

Table of n, a(n) for n=0..66.

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

FORMULA

G.f.: (1 + 20*x + 30*x^2 + 50*x^3 + 7*x^4 + 10*x^5)/((1 - x)*(1 + x^4)).

MATHEMATICA

CoefficientList[Series[(1 + 20 x + 30 x^2 + 50 x^3 + 7 x^4 + 10 x^5)/((1 - x) (1 + x^4)), {x, 0, 100}], x]