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Search: id:A113330
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| 1, 5, 50, 525, 5675, 62650, 703975, 8042625, 93454750, 1106250125, 13377432875, 165950540250, 2124087269375, 28260204825625, 394301229688750, 5824314672613125, 91872380184761875, 1557002324898406250
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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G.f.: A(x) = 1/(1 - 5/4!*x*Sum(k>=0} (k+4)!*x^k ).
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EXAMPLE
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A(x) = (1 + 5*x + 50*x^2 + 525*x^3 + 5675*x^4 + 62650*x^5 +..)
= 1/(1 - 5/4!*x*(4! + 5!*x + 6!*x^2 + 7!*x^3 + 8!*x^4 +..) ).
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PROGRAM
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(PARI) {a(n)=local(y=5, x=X+X*O(X^n)); polcoeff(1/(1 - y/(y-1)!*x*sum(k=0, n, (y-1+k)!*x^k)), n, X)}
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CROSSREFS
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Cf. A111146, A113326, A113327 (y=2), A113328 (y=3), A113329 (y=4), A113331 (y=6).
Adjacent sequences: A113327 A113328 A113329 this_sequence A113331 A113332 A113333
Sequence in context: A136910 A093143 A077330 this_sequence A079157 A078244 A047736
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KEYWORD
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nonn
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr) and Paul D. Hanna (pauldhanna(AT)juno.com), Oct 26 2005
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