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A009048
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E.g.f. cos(sin(x)*exp(x)).
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0
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1, 0, -1, -6, -19, -20, 203, 1862, 9305, 20472, -159849, -2441230, -17558715, -60043100, 365766243, 8445023358, 80287239857, 383311153776, -1756145007825, -61596647223446, -735340088843107, -4522824431862308, 15016682566162427
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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FORMULA
| a(n)=sum(k=1..n/2, (2^(n-2*k+1)*sum(j=k..n/2, binomial(n,n-2*j)*((k)^(n-2*j)*sum(i=0..k, (i-k)^(2*j)*binomial(2*k,i)*(-1)^(j-i)))))/(2*k)!); [From Vladimir Kruchinin, Jun 13 2011]
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PROG
| (Maxima)
a(n):=sum((2^(n-2*k+1)*sum(binomial(n, n-2*j)*((k)^(n-2*j)*sum((i-k)^(2*j)*binomial(2*k, i)*(-1)^(j-i), i, 0, k)), j, k, n/2))/(2*k)!, k, 1, n/2); [From Vladimir Kruchinin, Jun 13 2011]
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CROSSREFS
| Sequence in context: A184197 A173568 A012589 * A046955 A042215 A041911
Adjacent sequences: A009045 A009046 A009047 * A009049 A009050 A009051
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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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