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Search: id:A045406
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| 1, 3, -1, 0, 4, -28, 188, -1368, 11016, -98208, 964512, -10370880, 121337280, -1535880960, 20924455680, -305396421120, 4755302899200, -78700195123200, 1379748896870400, -25546854999859200, 498194992408780800, -10207190048993280000, 219216795045212160000
(list; graph; listen)
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OFFSET
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2,2
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REFERENCES
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L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 139, b(n,2).
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FORMULA
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E.g.f.: ((1+x)*ln(1+x))^2/2. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Feb 20 2003
a(n)=sum(i=1, n-1, i^2*Stirling1(n-1, i)) - Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 23 2004
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MAPLE
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with(combinat): for n from 2 to 40 do for k from 2 to 2 do printf(`%d, `, sum(binomial(l, k)*k^(l-k)*stirling1(n, l), l=k..n)) od: od:
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CROSSREFS
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Sequence in context: A127569 A117372 A127570 this_sequence A133728 A127627 A119302
Adjacent sequences: A045403 A045404 A045405 this_sequence A045407 A045408 A045409
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KEYWORD
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sign,easy
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AUTHOR
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njas, Jan 26 2001
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jan 26 2001
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