

A113147


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


1



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

0,3


LINKS

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


FORMULA

a(n) = Sum_{j=0..k} 6^(kj)*A111146(k, j).
a(0) = 1; a(n+1) = Sum_{k=0..n} a(k)*A008542(nk).


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/(1xx^2*sum(j=0, n, x^j*prod(i=0, j, 6*i+1))); return(polcoeff(A, n, X))}


CROSSREFS

Cf. A113143, A008542 (6fold factorials).
Sequence in context: A212491 A006608 A066205 * A206154 A181445 A231969
Adjacent sequences: A113144 A113145 A113146 * A113148 A113149 A113150


KEYWORD

nonn


AUTHOR

Philippe Deléham and Paul D. Hanna, Oct 28 2005


STATUS

approved



