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A362859
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Expansion of e.g.f. exp(-x) / (1 + LambertW(-2*x)).
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2
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1, 1, 13, 173, 3321, 81529, 2443333, 86475493, 3529941873, 163260749681, 8437633695741, 481912844592541, 30142773978386281, 2049173019206244073, 150443505029536707381, 11862692305729094644949, 999864950902004743707873, 89709634016056661732903137
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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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G.f.: Sum_{k>=0} (2*k*x)^k / (1 + x)^(k+1).
a(n) = (-1)^n * Sum_{k=0..n} (-2*k)^k * binomial(n,k).
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PROG
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(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-x)/(1 + lambertw(-2*x))))
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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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