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Search: id:A122399
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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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+0
6
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| 1, 1, 9, 211, 9285, 658171, 68504709, 9837380491, 1863598406805, 450247033371451, 135111441590583909, 49300373690091496171, 21495577955682021043125, 11037123350952586270549531
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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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
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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
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Cf. A122400.
Sequence in context: A012108 A103914 A001535 this_sequence A109587 A067426 A007108
Adjacent sequences: A122396 A122397 A122398 this_sequence A122400 A122401 A122402
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KEYWORD
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easy,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 31 2006
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EXTENSIONS
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More terms from Max Alekseyev (maxale(AT)gmail.com), Feb 01 2007
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