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A003017
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Expansion of 1/(1-x*exp(x)+x^2*exp(2*x)-x^3*exp(3*x)).
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0
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1, 1, 2, 3, 28, 605, 9366, 116767, 1310408, 15812505, 263924650, 6018875291, 148630870092, 3548481410773, 82543469312318, 2000101425252855, 54347539111582096, 1678367049470539697, 56020955060945897298
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Vladimir Kruchinin, Compositae and their properties , arXiv:1103.2582~
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FORMULA
| a(n)=sum(sum(k^(n-k)/(n-k)!*sum(binomial(j,k-3*m+2*j)*(-1)^(k-3*m+2*j)*binomial(m,j),j,0,m),k,m,n),m,1,n), n>0. [From Kruchinin Vladimir (kru(AT)ie.tusur.ru), Aug 20 2010]
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PROG
| (Other) a(n):=sum(sum(k^(n-k)/(n-k)!*sum(binomial(j, k-3*m+2*j)*(-1)^(k-3*m+2*j)*binomial(m, j), j, 0, m), k, m, n), m, 1, n); (for Maxima) [From Kruchinin Vladimir (kru(AT)ie.tusur.ru), Aug 20 2010]
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CROSSREFS
| Sequence in context: A206592 A126266 A206591 * A096580 A028868 A081332
Adjacent sequences: A003014 A003015 A003016 * A003018 A003019 A003020
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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