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A113669 Self-convolution cube equals A113663, where a(n) = n*A113663(n-1) for n>=1, with a(0)=1. +0
7
1, 1, 6, 63, 904, 16080, 337374, 8107743, 218940480, 6554205342, 215319184860, 7701064928370, 297912862462680, 12396725926132990, 552257670588677214, 26229243983909050215, 1323230977463353055616, 70673562984581535191094 (list; graph; listen)
OFFSET

0,3

FORMULA

G.f. satisfies: A(x) = 1 + x*d/dx[x*A(x)^3].

PROGRAM

(PARI) {a(n)=local(A=1+x*O(x^n)); for(i=1, n, A=1+x*deriv(x*A^3)); polcoeff(A, n, x)}

CROSSREFS

Cf. A113663, A000699, A113670, A113671, A113672, A113673, A113674.

Sequence in context: A071588 A001261 A132078 this_sequence A121415 A098342 A107995

Adjacent sequences: A113666 A113667 A113668 this_sequence A113670 A113671 A113672

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Nov 04 2005

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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