A357343 E.g.f. satisfies A(x) = -log(1 - x * exp(A(x))) * exp(A(x)).

0, 1, 5, 53, 878, 19904, 573984, 20112770, 829953368, 39425517072, 2119169565120, 127163052628512, 8426599011632592, 611181716437826832, 48159349246147915944, 4096752391897622411880, 374189567290578072309504, 36525100459236757201316352

Offset

0,3

Links

Table of n, a(n) for n=0..17.

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, A357344, A357345, A357422.

Cf. A052807, A349556.

Sequence in context: A367156 A123130 A094089 * A231866 A196659 A128943

Adjacent sequences: A357340 A357341 A357342 * A357344 A357345 A357346

Keyword

nonn

Author

Seiichi Manyama, Sep 25 2022

Status

approved