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A122418
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a(n) = Sum_{k=0..n} (k-1)^n*k!*Stirling2(n,k).
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5
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1, 0, 2, 54, 2534, 186030, 19794662, 2885980734, 552803552534, 134687987183790, 40686498089484422, 14925683377452413214, 6536580413039406774134, 3368723388994026165415950, 2018248855531992511720945382, 1390953089533285777007059354494, 1092714503596231472933813958469334
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| E.g.f.: Sum((exp((n-1)*x)-1)^n,n=0..infinity).
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MAPLE
| A122418 := proc(n) sum((k-1)^n*k!*combinat[stirling2](n, k), k=0..n) ; end; for n from 0 to 16 do print(A122418(n)) ; od ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 10 2007
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CROSSREFS
| Cf. A122419, A122420, A122399.
Sequence in context: A157058 A071798 A123686 * A069788 A117681 A089180
Adjacent sequences: A122415 A122416 A122417 * A122419 A122420 A122421
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KEYWORD
| easy,nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 03 2006
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 10 2007
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