A377450 E.g.f. satisfies A(x) = 1/(1 - A(x)^3 * (exp(x) - 1)).

1, 1, 9, 157, 4209, 153301, 7075209, 395858317, 26043658209, 1970447255941, 168569253106809, 16090431675455677, 1695423031884496209, 195469637688003331381, 24477403062879209570409, 3308367753565825806208237, 480047805083610542972470209, 74429414765710201956179803621

Offset: 0

Author

Seiichi Manyama, Oct 28 2024

Keywords

• nonn

Crossrefs

Cf. A367161, A377451.

Cf. A377453.

Programs

PARI

a(n) = sum(k=0, n, (4*k)!/(3*k+1)!*stirling(n, k, 2));

Formula

a(n) = Sum_{k=0..n} (4*k)!/(3*k+1)! * Stirling2(n,k).