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A191462
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E.g.f. (1+x)^(1+x^2+x^4)
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0
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1, 1, 0, 6, 12, 100, 780, -1092, 43344, 48816, 1264320, 24662880, -162851040, 4327633440, -17686783296, 275230488960, 3743721112320, -70886371933440, 2127136959383040, -25991855154846720, 402985066993459200
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OFFSET
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0,4
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LINKS
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Table of n, a(n) for n=0..20.
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FORMULA
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a(n)=sum(k=1..n, sum(i=0..(n-k)/2, ((sum(j=0..k, binomial(j,i-j)*binomial(k,j)))*stirling1(n-2*i,k))/(n-2*i)!)), n>0, a(0)=1.
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MATHEMATICA
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With[{nn=20}, CoefficientList[Series[(1+x)^(1+x^2+x^4), {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Aug 24 2012 *)
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PROG
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(Maxima)
a(n):=sum(sum(((sum(binomial(j, i-j)*binomial(k, j), j, 0, k))*stirling1(n-2*i, k))/(n-2*i)!, i, 0, (n-k)/2), k, 1, n);
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CROSSREFS
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Sequence in context: A002898 A003613 A099767 * A080450 A144760 A207838
Adjacent sequences: A191459 A191460 A191461 * A191463 A191464 A191465
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KEYWORD
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sign
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AUTHOR
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Vladimir Kruchinin, Jun 02 2011
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STATUS
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approved
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