A369785 Expansion of e.g.f. exp( (exp(3*(exp(x)-1))-1)/3 ).

1, 1, 5, 32, 252, 2368, 25865, 321310, 4461684, 68329293, 1142114917, 20663072796, 401891071075, 8355591197398, 184796601094141, 4329517995684305, 107060130166069859, 2785248872828731497, 76017344650249268158, 2171058618712177987046

Offset: 0

Author

Seiichi Manyama, Feb 01 2024

Keywords

• nonn

Crossrefs

Cf. A000258, A369784.

Cf. A004212, A049425.

Programs

PARI

my(N=20, x='x+O('x^N)); Vec(serlaplace(exp((exp(3*(exp(x)-1))-1)/3)))

Formula

a(n) = Sum_{k=0..n} Stirling2(n,k) * A004212(k).