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A009321
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E.g.f. log(1+log(1+x)*exp(x))
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0
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0, 1, 0, 1, -5, 23, -129, 894, -7202, 65365, -661763, 7412348, -91009060, 1214988851, -17522921545, 271538506004, -4499710415184, 79404970485241, -1486680068450391, 29435486083635796, -614519419914446388
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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FORMULA
| a(n)=sum(k=1..n, ((-1)^(k-1)*(k-1)!*sum(i=0..n-k, binomial(n,i)*(k^i*stirling1(n-i,k))))). [From Vladimir Kruchinin, Jun 14 2011]
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PROG
| (Maxima)
a(n):=sum(((-1)^(k-1)*(k-1)!*sum(binomial(n, i)*(k^i*stirling1(n-i, k)), i, 0, n-k)), k, 1, n); [From Vladimir Kruchinin, Jun 14 2011]
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CROSSREFS
| Sequence in context: A200028 A020032 A186755 * A078509 A077240 A129098
Adjacent sequences: A009318 A009319 A009320 * A009322 A009323 A009324
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KEYWORD
| sign,easy
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AUTHOR
| R. H. Hardin (rhhardin(AT)att.net)
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EXTENSIONS
| Extended with signs Mar 15 1997 by Olivier Gerard.
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