A392589 - OEIS

A392589

Expansion of 1 / ((1-x)^5 - x^4)^2.

1, 10, 55, 220, 717, 2032, 5245, 12800, 30433, 71936, 170528, 405140, 960039, 2259412, 5272302, 12207404, 28100505, 64437020, 147387480, 336449420, 766499736, 1742452890, 3952091015, 8944258380, 20202499027, 45553242078, 102561076960, 230601450120, 517844031238

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OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-208,242,-190,100,-36,8,-1).

FORMULA

a(n) = Sum_{k=0..floor(n/4)} (k+1) * binomial(n+k+9,n-4*k).

a(n) = 10*a(n-1) - 45*a(n-2) + 120*a(n-3) - 208*a(n-4) + 242*a(n-5) - 190*a(n-6) + 100*a(n-7) - 36*a(n-8) + 8*a(n-9) - a(n-10).

PROG

(PARI) my(N=30, x='x+O('x^N)); Vec(1/((1-x)^5-x^4)^2)

CROSSREFS