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Search: id:A072597
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| A072597 |
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Expansion of 1/(exp(-x)-x) as exponential generating function. |
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+0
3
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| 1, 2, 7, 37, 261, 2301, 24343, 300455, 4238153, 67255273, 1185860331, 23000296155, 486655768525, 11155073325917, 275364320099807, 7282929854486431, 205462851526617489, 6158705454187353297
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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E.g.f.: 1/(exp(-x)-x).
a(n) = n!*Sum_{k=0..n} (n-k+1)^k/k!. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Aug 31 2003
a(n) = Sum_{k=0..n} (-1)^(n-k)*Stirling2(n, k)*A052820(k). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Apr 12 2004
Recurrence : a(n+1) = 1 + sum { j=1, n, binomial(n, j)*a(j)*j } - Jon Perry (perry(AT)globalnet.co.uk), Apr 25 2005
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PROGRAM
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(PARI) a(n)=if(n<0, 0, n!*polcoeff(1/(exp(-x+x*O(x^n))-x), n))
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CROSSREFS
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Cf. A000110.
Sequence in context: A020040 A125191 A135164 this_sequence A125515 A135920 A001515
Adjacent sequences: A072594 A072595 A072596 this_sequence A072598 A072599 A072600
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KEYWORD
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nonn,easy
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AUTHOR
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Michael Somos, Jun 23, 2002
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