A113330 a(n) = Sum_{k=0..n} 5^k*A111146(n,k).

1, 5, 50, 525, 5675, 62650, 703975, 8042625, 93454750, 1106250125, 13377432875, 165950540250, 2124087269375, 28260204825625, 394301229688750, 5824314672613125, 91872380184761875, 1557002324898406250

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Formula

G.f.: A(x) = 1/(1 - (5/24)*x*Sum_{k>=0} (k+4)!*x^k ).

Example

A(x) = (1 + 5*x + 50*x^2 + 525*x^3 + 5675*x^4 + 62650*x^5 +..)
= 1/(1 - 5/4!*x*(4! + 5!*x + 6!*x^2 + 7!*x^3 + 8!*x^4 +..) ).

Prog

(PARI) {a(n)=local(y=5, x=X+X*O(X^n)); polcoeff(1/(1 - y/(y-1)!*x*sum(k=0, n, (y-1+k)!*x^k)), n, X)}

Crossrefs

Cf. A111146, A113326, A113327 (y=2), A113328 (y=3), A113329 (y=4), A113331 (y=6).

Sequence in context: A093143 A346937 A077330 * A079157 A286974 A199762

Adjacent sequences: A113327 A113328 A113329 * A113331 A113332 A113333

Keyword

nonn

Author

Philippe Deléham and Paul D. Hanna, Oct 26 2005

Status

approved