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A277481 E.g.f.: -log(1+x)*LambertW(-x). 2
0, 0, 2, 3, 32, 240, 3114, 44065, 777720, 15582168, 357427770, 9151281293, 259607392164, 8070381333872, 272960010908662, 9976300661919345, 391837137436921072, 16458193396472517328, 736145006794621566642, 34932117830021859779517, 1752782822664497750549660 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..385

FORMULA

a(n) ~ log(1+exp(-1)) * n^(n-1).

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 *)

PROG

(PARI) x='x+O('x^50); concat([0, 0], Vec(serlaplace(-log(1+x)*lambertw(-x) ))) \\ G. C. Greubel, Nov 08 2017

CROSSREFS

Cf. A000169, A277465, A277473, A277482.

Sequence in context: A141049 A052830 A041895 * A079883 A066269 A083785

Adjacent sequences:  A277478 A277479 A277480 * A277482 A277483 A277484

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Oct 17 2016

STATUS

approved

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Last modified February 25 13:30 EST 2018. Contains 299654 sequences. (Running on oeis4.)