A357347 E.g.f. satisfies A(x) = (exp(x * exp(A(x))) - 1) * exp(2 * A(x)).

0, 1, 7, 103, 2385, 75756, 3064239, 150689953, 8729691693, 582299930167, 43956280309659, 3704637865439380, 344825037782332457, 35131983926187957173, 3888817094785288023367, 464724955485177444101895, 59631976064836824117227621, 8177487264101392841050876136

Offset

0,3

Links

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

Formula

a(n) = Sum_{k=1..n} (n+2*k)^(k-1) * Stirling2(n,k).

Prog

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

Crossrefs

Cf. A052888, A357346, A357348.

Cf. A355762.

Sequence in context: A368440 A365014 A234292 * A177752 A101746 A318398

Adjacent sequences: A357344 A357345 A357346 * A357348 A357349 A357350

Keyword

nonn

Author

Seiichi Manyama, Sep 25 2022

Status

approved