A113146 Row 5 of table A113143; equal to INVERT of quintic (or 5-fold) factorials shifted one place right.

1, 1, 2, 9, 83, 1226, 24727, 627909, 19169758, 682800001, 27776711627, 1270110048234, 64470498348983, 3596569233141701, 218698213338646702, 14395754017090902609, 1019782749198898131883, 77351848007810972904826

Offset

0,3

Links

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

Formula

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

a(0) = 1; a(n+1) = Sum_{k=0..n} a(k)*A008548(n-k).

Example

A(x) = 1 + x + 2*x^2 + 9*x^3 + 83*x^4 + 1226*x^5 +...
= 1/(1 - x - x^2 - 6*x^3 - 66*x^4 -...- A008548(n)*x^(n+1)
-...).

Prog

(PARI) {a(n)=local(x=X+X*O(X^n)); A=1/(1-x-x^2*sum(j=0, n, x^j*prod(i=0, j, 5*i+1))); return(polcoeff(A, n, X))}

Crossrefs

Cf. A113143, A008548 (5-fold factorials).

Sequence in context: A006040 A067309 A087798 * A323769 A354045 A296581

Adjacent sequences: A113143 A113144 A113145 * A113147 A113148 A113149

Keyword

nonn

Author

Philippe Deléham and Paul D. Hanna, Oct 28 2005

Status

approved