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A122399
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a(n) = Sum_{k=0..n} k^n*k!*Stirling2(n,k).
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7
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1, 1, 9, 211, 9285, 658171, 68504709, 9837380491, 1863598406805, 450247033371451, 135111441590583909, 49300373690091496171, 21495577955682021043125, 11037123350952586270549531
(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*x)-1)^n,n=0..infinity). - Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 03 2006
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MAPLE
| a := n -> add(k^n*k!*combinat[stirling2](n, k), k=0..n); - Max Alekseyev (maxale(AT)gmail.com), Feb 01 2007
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CROSSREFS
| Cf. A122400.
Sequence in context: A103914 A203364 A001535 * A188409 A109587 A067426
Adjacent sequences: A122396 A122397 A122398 * A122400 A122401 A122402
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KEYWORD
| easy,nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 31 2006
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EXTENSIONS
| More terms from Max Alekseyev (maxale(AT)gmail.com), Feb 01 2007
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