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A362892
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Expansion of e.g.f. 1/(1 + LambertW(-x^2 * (exp(x) - 1))).
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1
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1, 0, 0, 6, 12, 20, 1470, 10122, 47096, 1814472, 25119450, 226527950, 6732015972, 142901684796, 2071229736758, 57596022404130, 1589579741044080, 32832196825559312, 951335638952843826, 31043287459520549910, 838738470701197009820
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) = n! * Sum_{k=0..floor(n/3)} k^k * Stirling2(n-2*k,k)/(n-2*k)!.
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PROG
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(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1+lambertw(-x^2*(exp(x)-1)))))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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