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A009448 E.g.f. sin(x*exp(x)). 0
0, 1, 2, 2, -8, -84, -504, -2304, -6656, 15760, 484000, 5348320, 44393856, 288642368, 1137006976, -5372233216, -195241910272, -2961479980800, -34259767672320, -320473550808576, -2158264400250880, -1727938748171264, 278774033845987328 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

FORMULA

a(n)=sum(j=0..(n-1)/2, binomial(n,2*j+1)*(2*j+1)^(n-2*j-1)*(-1)^j). [From Vladimir Kruchinin, Jun 10 2011]

PROG

(Maxima)

a(n):=sum(binomial(n, 2*j+1)*(2*j+1)^(n-2*j-1)*(-1)^j, j, 0, (n-1)/2); [From Vladimir Kruchinin, Jun 10 2011]

CROSSREFS

Sequence in context: A000615 A012413 A012659 * A012410 A123642 A007848

Adjacent sequences:  A009445 A009446 A009447 * A009449 A009450 A009451

KEYWORD

sign,easy

AUTHOR

R. H. Hardin (rhhardin(AT)att.net)

EXTENSIONS

Extended with signs Mar 15 1997 by Olivier Gerard.

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Last modified February 14 00:47 EST 2012. Contains 205567 sequences.