A392585 - OEIS

A392585

Expansion of 1 / ((1-x)^4 - x^3)^2.

1, 8, 36, 122, 354, 948, 2447, 6210, 15579, 38644, 94804, 230340, 555265, 1330124, 3169602, 7518618, 17762843, 41813520, 98111667, 229548124, 535677447, 1247144584, 2897380069, 6718133382, 15549483240, 35930986632, 82901588856, 191005430706, 439502265432, 1010061841332

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

OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (8,-28,58,-78,68,-37,10,-1).

FORMULA

a(n) = Sum_{k=0..floor(n/3)} (k+1) * binomial(n+k+7,n-3*k).

a(n) = 8*a(n-1) - 28*a(n-2) + 58*a(n-3) - 78*a(n-4) + 68*a(n-5) - 37*a(n-6) + 10*a(n-7) - a(n-8).

PROG

(PARI) my(N=30, x='x+O('x^N)); Vec(1/((1-x)^4-x^3)^2)

CROSSREFS