A366085 Expansion of (1/x) * Series_Reversion( x*(1-x)^4/(1-x-x^3) ).

1, 3, 15, 90, 596, 4199, 30869, 234091, 1817720, 14380288, 115492518, 939163680, 7717237661, 63979604459, 534498370665, 4495171005567, 38026764744348, 323358790454352, 2762410748226232, 23697028402783512, 204044822552956179, 1762917281476448944

Offset

0,2

Links

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

Formula

a(n) = (1/(n+1)) * Sum_{k=0..floor(n/3)} (-1)^k * binomial(n+1,k) * binomial(4*n-2*k+2,n-3*k).

Prog

(PARI) a(n) = sum(k=0, n\3, (-1)^k*binomial(n+1, k)*binomial(4*n-2*k+2, n-3*k))/(n+1);

Crossrefs

Cf. A049133, A243157, A366084.

Cf. A366053.

Sequence in context: A361843 A097188 A025748 * A271930 A201953 A355501

Adjacent sequences: A366082 A366083 A366084 * A366086 A366087 A366088

Keyword

nonn

Author

Seiichi Manyama, Sep 28 2023

Status

approved