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Search: id:A113146
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| A113146 |
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Row 5 of table A113143; equal to INVERT of quintic (or 5-fold) factorials shifted one place right. |
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+0
2
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| 1, 1, 2, 9, 83, 1226, 24727, 627909, 19169758, 682800001, 27776711627, 1270110048234, 64470498348983, 3596569233141701, 218698213338646702, 14395754017090902609, 1019782749198898131883, 77351848007810972904826
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n) = Sum_{j=0..k} 5^(k-j)*A111146(k, j).
a(0) = 1; a(n+1) = Sum_{k=0..n} a(k)*A008548(n-k).
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EXAMPLE
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A(x) = 1 + x + 2*x^2 + 9*x^3 + 83*x^4 + 1226*x^5 +...
= 1/(1 - x - x^2 - 6*x^3 - 66*x^4 -...- A008548(n)*x^(n+1)
-...).
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PROGRAM
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(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, 5*i+1))); return(polcoeff(A, n, X))}
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CROSSREFS
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Cf. A113143, A008548 (5-fold factorials).
Sequence in context: A006040 A067309 A087798 this_sequence A069234 A086929 A120959
Adjacent sequences: A113143 A113144 A113145 this_sequence A113147 A113148 A113149
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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 28 2005
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