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Search: id:A113149
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| A113149 |
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Row 8 of table A113143; equal to INVERT of 8-fold factorials shifted one place right. |
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+0
2
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| 1, 1, 2, 12, 176, 4184, 134824, 5451528, 264710536, 14992543432, 969925065992, 70547721068232, 5697913588192520, 505926926171909576, 48979597517592503560, 5134435963996172979912, 579379155027833982679816
(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} 8^(k-j)*A111146(k, j).
a(0) = 1; a(n+1) = Sum_{k=0..n} a(k)*A113137(n-k).
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EXAMPLE
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A(x) = 1 + x + 2*x^2 + 12*x^3 + 176*x^4 + 4184*x^5 +...
= 1/(1 - x - x^2 - 9*x^3 - 153*x^4 -...- A113137(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, 8*i+1))); return(polcoeff(A, n, X))}
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CROSSREFS
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Cf. A113143, A113137 (8-fold factorials).
Adjacent sequences: A113146 A113147 A113148 this_sequence A113150 A113151 A113152
Sequence in context: A052729 A098431 A059522 this_sequence A007129 A125861 A067962
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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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