A357346 E.g.f. satisfies A(x) = (exp(x * exp(A(x))) - 1) * exp(A(x)).

0, 1, 5, 52, 849, 18996, 540986, 18726247, 763480675, 35837071558, 1903538106065, 112880374866172, 7392418912962210, 529898419942327801, 41266682731537698181, 3469461853041348996044, 313200848521114144611273, 30215925892728362737156556

Offset

0,3

Links

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

Formula

a(n) = Sum_{k=1..n} (n+k)^(k-1) * Stirling2(n,k).

Prog

(PARI) a(n) = sum(k=1, n, (n+k)^(k-1)*stirling(n, k, 2));

Crossrefs

Cf. A052888, A357347, A357348.

Cf. A349557.

Sequence in context: A280063 A363356 A365012 * A196531 A108459 A223898

Adjacent sequences: A357343 A357344 A357345 * A357347 A357348 A357349

Keyword

nonn

Author

Seiichi Manyama, Sep 25 2022

Status

approved