A367199 E.g.f. satisfies A(x) = (1 + x*A(x))^(A(x)^3).

1, 1, 8, 141, 3852, 143460, 6780642, 388851960, 26235133992, 2036243259648, 178742696099040, 17509589369568648, 1893647907646728120, 224106838102512869400, 28809018473999642686584, 3997516614926297143604760, 595518793080901690966354368

Offset: 0

Author

Seiichi Manyama, Nov 10 2023

Keywords

• nonn

Crossrefs

Cf. A349505, A367157.

Cf. A162655, A162656.

Cf. A367200, A367201.

Programs

PARI

a(n) = sum(k=0, n, (n+3*k+1)^(k-1)*stirling(n, k, 1));

Formula

a(n) = Sum_{k=0..n} (n+3*k+1)^(k-1) * Stirling1(n,k).