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A009446
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E.g.f. sin(x*cos(x)) (odd powers only)
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0
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1, -4, 36, -848, 23824, -871872, 44942912, -2860930816, 213856723200, -19099352929280, 2010469524579328, -242177953175506944, 32998102512641970176, -5069553933584348397568, 870871673923373487243264
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n)=(-1)^(n)*sum(k=0..n, binomial(2*n+1,2*k+1)*((sum(i=0..k, (2*k+1-2*i)^(2*n-2*k)*binomial(2*k+1,i))))/(2^(2*k))). [Vladimir Kruchinin, Jun 18 2011]
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PROG
| (Maxima)
a(n):=(-1)^(n)*sum(binomial(2*n+1, 2*k+1)*((sum((2*k+1-2*i)^(2*n-2*k)*binomial(2*k+1, i), i, 0, ((k)))))/(2^(2*k)), k, 0, n); [Vladimir Kruchinin, Jun 18 2011]
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CROSSREFS
| Sequence in context: A156630 A145565 A126152 * A134052 A127901 A061742
Adjacent sequences: A009443 A009444 A009445 * A009447 A009448 A009449
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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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