A113147 Row 6 of table A113143; equal to INVERT of 6-fold factorials shifted one place right.

1, 1, 2, 10, 110, 1954, 47270, 1437562, 52531310, 2239259266, 109021857446, 5966767051354, 362558298692270, 24214789406313442, 1763062297639690790, 138975554045857840570, 11790733617760291994990, 1071215297856049456744642

Offset

0,3

Links

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

Formula

a(n) = Sum_{j=0..k} 6^(k-j)*A111146(k, j).

a(0) = 1; a(n+1) = Sum_{k=0..n} a(k)*A008542(n-k).

Example

A(x) = 1 + x + 2*x^2 + 10*x^3 + 110*x^4 + 1954*x^5 +...
= 1/(1 - x - x^2 - 7*x^3 - 91*x^4 -...- A008542(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, 6*i+1))); return(polcoeff(A, n, X))}

Crossrefs

Cf. A113143, A008542 (6-fold factorials).

Sequence in context: A364409 A006608 A066205 * A335946 A206154 A181445

Adjacent sequences: A113144 A113145 A113146 * A113148 A113149 A113150

Keyword

nonn

Author

Philippe Deléham and Paul D. Hanna, Oct 28 2005

Status

approved