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A277466
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E.g.f.: -log(1-x)/(1+LambertW(-x)).
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3
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0, 1, 3, 17, 146, 1684, 24294, 419383, 8412760, 192078864, 4914973770, 139265564723, 4327699948956, 146323675764044, 5347193667136398, 210005149832116455, 8820722263274822992, 394546588041904397184, 18723398414958791004690, 939550079246853331267203
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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.
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MATHEMATICA
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CoefficientList[Series[-Log[1-x]/(1+LambertW[-x]), {x, 0, 25}], x] * Range[0, 25]!
Flatten[{0, Table[(n-1)! + n!*Sum[k^k/(k!*(n-k)), {k, 1, n-1}], {n, 1, 25}]}] (* Vaclav Kotesovec, Oct 28 2016 *)
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PROG
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(PARI) x='x+O('x^50); concat([0], Vec(serlaplace(-log(1-x)/(1 + lambertw(-x))))) \\ G. C. Greubel, Nov 07 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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