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A362799
E.g.f. satisfies A(x) = exp( (exp(x) - 1) * A(x)^x ).
3
1, 1, 2, 11, 63, 542, 5183, 62211, 830252, 12900381, 220566835, 4223662522, 88001471869, 2007052809465, 49309469989666, 1306455781607975, 36973887007453315, 1116728635342926570, 35775769695237122035, 1213704083311914974899
OFFSET
0,3
LINKS
Eric Weisstein's World of Mathematics, Lambert W-Function.
FORMULA
E.g.f.: exp( -LambertW(-x * (exp(x) - 1)) / x ).
E.g.f.: Sum_{k>=0} (k*x + 1)^(k-1) * (exp(x) - 1)^k / k!.
PROG
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-lambertw(-x*(exp(x)-1))/x)))
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, May 04 2023
STATUS
approved