A277481 E.g.f.: -log(1+x)*LambertW(-x).
0, 0, 2, 3, 32, 240, 3114, 44065, 777720, 15582168, 357427770, 9151281293, 259607392164, 8070381333872, 272960010908662, 9976300661919345, 391837137436921072, 16458193396472517328, 736145006794621566642, 34932117830021859779517, 1752782822664497750549660
Offset: 0
Keywords
Links
- G. C. Greubel, Table of n, a(n) for n = 0..385
Programs
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Mathematica
CoefficientList[Series[-Log[1+x]*LambertW[-x], {x, 0, 20}], x] * Range[0, 20]! Table[n!*Sum[(-1)^(n-k-1)*k^(k-1)/(k!*(n-k)), {k, 1, n-1}], {n, 0, 20}] (* Vaclav Kotesovec, Oct 28 2016 *) -
PARI
x='x+O('x^50); concat([0,0], Vec(serlaplace(-log(1+x)*lambertw(-x) ))) \\ G. C. Greubel, Nov 08 2017
Formula
a(n) ~ log(1+exp(-1)) * n^(n-1).