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A009665
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E.g.f. tan(sin(x))*sin(x), (even powers only).
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1
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0, 2, 0, -32, -640, 1024, 661504, 25305088, -948699136, -216606572544, -10006005547008, 2013855760777216, 462400685741178880, 10633324821284388864, -16549579084211148554240
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n)=sum(k=1..n, ((sum(j=1..2*k-1, j!*(-1)^(j)*2^(2*n-j)*stirling2(2*k-1,j)))*sum(i=0..k, (i-k)^(2*n)*binomial(2*k,i)*(-1)^(n-i)))/((2*k-1)!)). [From Vladimir Kruchinin, Jun 29 2011]
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PROG
| (Maxima)
a(n):=sum(((sum(j!*(-1)^(j)*2^(2*n-j)*stirling2(2*k-1, j), j, 1, 2*k-1))*sum((i-k)^(2*n)*binomial(2*k, i)*(-1)^(n-i), i, 0, k))/((2*k-1)!), k, 1, n); [From Vladimir Kruchinin, Jun 29 2011]
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CROSSREFS
| Sequence in context: A156452 A156473 A156504 * A053552 A009548 A172388
Adjacent sequences: A009662 A009663 A009664 * A009666 A009667 A009668
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KEYWORD
| sign
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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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