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Search: id:A135747
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| A135747 |
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E.g.f.: A(x) = Sum_{n>=0} exp((n+1)*x)^(n-1) * x^n/n!. |
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+0
4
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| 1, 0, 2, 9, 88, 985, 14976, 278929, 6208000, 163268865, 4979147680, 173500986241, 6838921208736, 302161792811905, 14840867887070512, 804732692174218305, 47888731015720316416, 3110871265807567331329, 219546952410733092279360
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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n divides a(n) for n>=1.
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FORMULA
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a(n) = Sum_{k=0..n} C(n,k)*(k^2-1)^(n-k).
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PROGRAM
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(PARI) {a(n)=sum(k=0, n, binomial(n, k)*(k^2-1)^(n-k))} (PARI) {a(n)=n!*polcoeff(sum(k=0, n, exp((k^2-1)*x +x*O(x^n))*x^k/k!), n)}
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CROSSREFS
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Cf. variants: A135742, A135743, A135744, A135745, A135746.
Sequence in context: A106163 A068595 A037172 this_sequence A132431 A001192 A006120
Adjacent sequences: A135744 A135745 A135746 this_sequence A135748 A135749 A135750
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Nov 27 2007
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