A277502 E.g.f.: -LambertW(-arcsin(x)).
0, 1, 2, 10, 72, 724, 9184, 142080, 2587392, 54290256, 1289277440, 34191270752, 1001513996288, 32113767783616, 1118831623585792, 42084750888906240, 1699836383279448064, 73377208318764134656, 3371248736937012363264, 164251735270613613412864
Offset: 0
Keywords
Links
- G. C. Greubel, Table of n, a(n) for n = 0..385
Programs
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Mathematica
CoefficientList[Series[-LambertW[-ArcSin[x]], {x, 0, 20}], x] * Range[0, 20]! -
PARI
x='x+O('x^30); concat([0], Vec(serlaplace(-lambertw(-asin(x))))) \\ G. C. Greubel, Nov 12 2017
Formula
a(n) ~ sqrt(tan(exp(-1))) * exp(1/2 - n) * n^(n-1) / sin(exp(-1))^n.