A367201 E.g.f. satisfies log(A(x)) = (exp(x*A(x)) - 1) * A(x)^3.

1, 1, 10, 200, 6167, 258607, 13748744, 886397829, 67211684890, 5861684458896, 578088714806497, 63617223837958309, 7728596914020856162, 1027393177458209939977, 148344954037140113652010, 23119776330887635387231580, 3868359765874829925197165527

Offset

0,3

Links

Table of n, a(n) for n=0..16.

Formula

a(n) = Sum_{k=0..n} (n+3*k+1)^(k-1) * Stirling2(n,k).

Prog

(PARI) a(n) = sum(k=0, n, (n+3*k+1)^(k-1)*stirling(n, k, 2));

Crossrefs

Cf. A349525, A367163.

Cf. A349557, A355762.

Cf. A367199, A367200.

Sequence in context: A156275 A036362 A051262 * A362723 A178020 A279833

Adjacent sequences: A367198 A367199 A367200 * A367202 A367203 A367204

Keyword

nonn

Author

Seiichi Manyama, Nov 10 2023

Status

approved