A357422 E.g.f. satisfies A(x) * exp(A(x)) = -log(1 - x * exp(A(x))).

0, 1, 1, 5, 34, 324, 3936, 58190, 1014056, 20354544, 462472800, 11733507312, 328809013776, 10086567702288, 336184985751720, 12097485061713480, 467445074411402496, 19303428522591336960, 848420150154305711616, 39543441411041750547648

Offset

0,4

Links

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

Index entries for reversions of series

Formula

a(n) = Sum_{k=1..n} (n-k)^(k-1) * |Stirling1(n,k)|.

E.g.f.: Series_Reversion( exp(-x) * (1 - exp(-x * exp(x))) ). - Seiichi Manyama, Sep 09 2024

Prog

(PARI) a(n) = sum(k=1, n, (n-k)^(k-1)*abs(stirling(n, k, 1)));

Crossrefs

Cf. A006963, A357343, A357344, A357345.

Cf. A141209.

Sequence in context: A097817 A344556 A303175 * A197714 A198078 A133297

Adjacent sequences: A357419 A357420 A357421 * A357423 A357424 A357425

Keyword

nonn

Author

Seiichi Manyama, Sep 27 2022

Status

approved