A362796 E.g.f. satisfies A(x) = 1/(1-x)^(A(x)^x).

1, 1, 2, 12, 72, 650, 6480, 80906, 1121512, 18069264, 320204160, 6348340152, 136915211664, 3230148306216, 82078412377416, 2248247450065080, 65771634671679360, 2052879248516927232, 67955959831214467584, 2381716543764159438336

Offset

0,3

Links

Table of n, a(n) for n=0..19.

Eric Weisstein's World of Mathematics, Lambert W-Function.

Formula

E.g.f.: exp( -LambertW(x * log(1-x)) / x ) = 1/(1-x)^exp( -LambertW(x * log(1-x)) ).

E.g.f.: Sum_{k>=0} (k*x + 1)^(k-1) * (-log(1-x))^k / k!.

Prog

(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1-x)^exp(-lambertw(x*log(1-x)))))

Crossrefs

Cf. A052813, A362798.

Cf. A362794, A362799.

Sequence in context: A348767 A335786 A005443 * A002867 A235359 A130426

Adjacent sequences: A362793 A362794 A362795 * A362797 A362798 A362799

Keyword

nonn

Author

Seiichi Manyama, May 04 2023

Status

approved