A122522 - OEIS

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A122522

a(n) = a(n - 2) + a(n - 8).

1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 7, 7, 10, 10, 14, 14, 19, 19, 26, 26, 36, 36, 50, 50, 69, 69, 95, 95, 131, 131, 181, 181, 250, 250, 345, 345, 476, 476, 657, 657, 907, 907, 1252, 1252, 1728, 1728, 2385, 2385, 3292, 3292, 4544, 4544, 6272, 6272, 8657, 8657

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OFFSET

1,9

LINKS

Table of n, a(n) for n=1..62.

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

FORMULA

G.f.: x*(1+x)/(1 - x^2 - x^8). - G. C. Greubel, May 01 2017

MATHEMATICA

CoefficientList[Series[x*(1 + x)/(1 - x^2 - x^8), {x, 0, 50}], x] (* G. C. Greubel, May 01 2017 *)

PROG

(PARI) x='x+O('x^50); Vec(x*(1+x)/(1 - x^2 - x^8)) \\ G. C. Greubel, May 01 2017