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A009483
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E.g.f. sin(sin(x)*exp(x)).
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0
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0, 1, 2, 1, -12, -83, -338, -555, 4872, 58713, 355322, 988073, -6857796, -129165307, -1078218906, -4414644611, 23381079184, 664338643633, 7109036257394, 38790001170257, -152532610916348, -6632928177660835, -87579228437764450
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n)=sum(j=0..(n-1)/2, (2^(-(2*j))*sum(k=j..(n-1)/2, binomial(n,n-2*k-1)*((2*j+1)^(n-2*k-1)*sum(i=0..(2*j+1)/2, (2*i-2*j-1)^(2*k+1)*binomial(2*j+1,i)*(-1)^(k+1-i)))))/(2*j+1)!). [From Vladimir Kruchinin, Jun 13 2011]
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PROG
| (Maxima)
a(n):=sum((2^(-(2*j))*sum(binomial(n, n-2*k-1)*((2*j+1)^(n-2*k-1)*sum((2*i-2*j-1)^(2*k+1)*binomial(2*j+1, i)*(-1)^(k+1-i), i, 0, (2*j+1)/2)), k, j, (n-1)/2))/(2*j+1)!, j, 0, (n-1)/2); [From Vladimir Kruchinin, Jun 13 2011]
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CROSSREFS
| Sequence in context: A012291 A012585 A053566 * A181867 A171510 A124916
Adjacent sequences: A009480 A009481 A009482 * A009484 A009485 A009486
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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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