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A362522
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a(n) = n! * Sum_{k=0..floor(n/2)} (k+1)^(k-1) / (k! * (n-2*k)!).
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4
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1, 1, 3, 7, 49, 201, 2491, 14743, 266337, 2055889, 49051891, 466650471, 13873711633, 156839920537, 5591748678699, 73222243463671, 3046762637864641, 45346835284775073, 2158148557098011107, 35980450963558606279, 1928292118820446611441
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OFFSET
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0,3
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LINKS
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FORMULA
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E.g.f.: exp(x - LambertW(-x^2)) = -LambertW(-x^2)/x^2 * exp(x).
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PROG
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(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x-lambertw(-x^2))))
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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