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A290840 a(n) = n! * [x^n] exp(n*x)/(1 + LambertW(-x)). 4
1, 2, 12, 117, 1584, 27525, 585108, 14726411, 428551616, 14161828185, 523952280900, 21456869976135, 963553844335536, 47078974421716757, 2486272976536821332, 141118622400977894475, 8566597074999702384384, 553816179165426157329201, 37985975117322654130568964 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..365

N. J. A. Sloane, Transforms

FORMULA

a(n) = A290824(n,n).

a(n) ~ exp(1/2 + n*exp(-1)) * n^n / sqrt(exp(1)-1). - Vaclav Kotesovec, Oct 06 2017

MATHEMATICA

Table[n! * SeriesCoefficient[Exp[n*x]/(1 + LambertW[-x]), {x, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Oct 06 2017 *)

CROSSREFS

Main diagonal of A290824.

Cf. A000312, A254382.

Sequence in context: A035051 A214222 A227459 * A012628 A012623 A009742

Adjacent sequences:  A290837 A290838 A290839 * A290841 A290842 A290843

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Aug 12 2017

STATUS

approved

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Last modified October 15 15:03 EDT 2019. Contains 328030 sequences. (Running on oeis4.)