A357423 E.g.f. satisfies A(x) * exp(A(x)) = log(1 + x * exp(A(x))).

0, 1, -1, -1, 10, 4, -384, 818, 29800, -205200, -3612000, 56042832, 556589232, -19091774352, -70128589608, 8044430218680, -25379500932864, -4055729067351552, 48310659088501248, 2334746679051721536, -58078273556262804480, -1420062892415588203776

Offset

0,5

Links

Seiichi Manyama, Table of n, a(n) for n = 0..422

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) * (exp(x * exp(x)) - 1) ). - Seiichi Manyama, Sep 10 2024

Prog

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

Crossrefs

Cf. A357349, A357350, A357351.

Cf. A349587.

Sequence in context: A267180 A038306 A317597 * A320938 A117256 A332837

Adjacent sequences: A357420 A357421 A357422 * A357424 A357425 A357426

Keyword

sign

Author

Seiichi Manyama, Sep 27 2022

Status

approved