A113148 - OEIS

A113148

Row 7 of table A113143; equal to INVERT of 7-fold factorials shifted one place right.

1, 1, 2, 11, 141, 2928, 82597, 2925973, 124502114, 6179425823, 350316271761, 22326710345256, 1579953165170881, 122905129550802985, 10423661531476766834, 957176457621821573987, 94608465923392572536421

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..16.

FORMULA

a(n) = Sum_{j=0..k} 7^(k-j)*A111146(k, j).

a(0) = 1; a(n+1) = Sum_{k=0..n} a(k)*A045754(n-k).

EXAMPLE

A(x) = 1 + x + 2*x^2 + 11*x^3 + 141*x^4 + 2928*x^5 +...

= 1/(1 - x - x^2 - 8*x^3 - 120*x^4 -...- A045754(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, 7*i+1))); return(polcoeff(A, n, X))}

CROSSREFS

Cf. A113143, A045754 (7-fold factorials).

Sequence in context: A295811 A177753 A183609 * A377894 A193209 A268743

Adjacent sequences: A113145 A113146 A113147 * A113149 A113150 A113151

KEYWORD

nonn

AUTHOR

Philippe Deléham and Paul D. Hanna, Oct 28 2005

STATUS

approved