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A009249
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E.g.f. exp(tan(x)*log(1+x)).
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0
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1, 0, 2, -3, 28, -110, 1010, -6636, 67856, -618120, 7231048, -82977400, 1111357256, -15222508080, 231587495568, -3664098311160, 62674059676416, -1120961847782976, 21339716663592384, -424956180060612864
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n)=sum(k=1..n, sum(i=0..n/2-k, binomial(n,2*i+k)*((sum(j=0..2*i, stirling2(2*i+k,j+k)*2^(-j+2*i-1)*binomial(j+k-1,k-1)*(j+k)!*(-1)^(i+j)))*stirling1(n-2*i-k,k)))), n>0, a(0)=1. [From Vladimir Kruchinin, Jun 01 2011]
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MATHEMATICA
| Exp[ Tan[ x ]*Log[ 1+x ] ]
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PROG
| (Maxima)
a(n):=sum(sum(binomial(n, 2*i+k)*((sum(stirling2(2*i+k, j+k)*2^(-j+2*i-1)*binomial(j+k-1, k-1)*(j+k)!*(-1)^(i+j), j, 0, 2*i))*stirling1(n-2*i-k, k)), i, 0, n/2-k), k, 1, n); [From Vladimir Kruchinin, Jun 01 2011]
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CROSSREFS
| Sequence in context: A032813 A104313 A037423 * A012697 A191470 A001094
Adjacent sequences: A009246 A009247 A009248 * A009250 A009251 A009252
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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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