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A009670
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E.g.f. tan(sin(x)*cos(x)) (odd powers only).
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1
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1, -2, -48, 880, 59136, -4558336, -358510592, 87349164032, 5261729398784, -4294386293800960, -9972473469599744, 442881767885962739712, -50940651947982996897792, -83250857495799899292172288
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n)=2*sum(m=0..n, 4^(n-m)*((sum(j=1..2*m+1, j!*2^(-j)*(-1)^(j+1)*stirling2(2*m+1, j)))*sum(i=0..(2*m+1)/2, (2*i-(2*m+1))^(2*n+1)*binomial(2*m+1, i)*(-1)^(n+1-i)))/(2*m+1)!). [From Vladimir Kruchinin, Jun 29 2011]
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PROG
| (Maxima)
a(n):=2*sum(4^(n-m)*((sum(j!*2^(-j)*(-1)^(j+1)*stirling2(2*m+1, j), j, 1, 2*m+1))*sum((2*i-(2*m+1))^(2*n+1)*binomial(2*m+1, i)*(-1)^(n+1-i), i, 0, (2*m+1)/2))/(2*m+1)!, m, 0, n); [From Vladimir Kruchinin, Jun 28 2011]
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CROSSREFS
| Cf. A101921.
Sequence in context: A035606 A157057 A013523 * A024236 A119703 A012803
Adjacent sequences: A009667 A009668 A009669 * A009671 A009672 A009673
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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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