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A277482
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E.g.f.: log(1-x)*LambertW(-x).
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2
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0, 0, 2, 9, 56, 480, 5394, 75775, 1280376, 25270056, 569899770, 14444562803, 406204015524, 12545427045008, 422007399953398, 15354968442741135, 600807449737710832, 25153741340051795248, 1121917008608064151218, 53107023489332468636739, 2658946993059795072656540
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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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a(n) ~ -log(1-exp(-1)) * n^(n-1).
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MATHEMATICA
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CoefficientList[Series[Log[1-x]*LambertW[-x], {x, 0, 20}], x] * Range[0, 20]!
Table[n!*Sum[k^(k-1)/(k!*(n-k)), {k, 1, n-1}], {n, 0, 20}] (* Vaclav Kotesovec, Oct 28 2016 *)
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PROG
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(PARI) x='x+O('x^50); concat([0, 0], Vec(serlaplace(log(1-x)*lambertw(-x)) )) \\ G. C. Greubel, Nov 09 2017
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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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