|
|
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
|
|
|
FORMULA
|
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
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|