A355092 E.g.f. A(x) satisfies A(x) = 1 + 3 * (exp(x) - 1) * A(exp(x) - 1).

1, 3, 21, 246, 4215, 97743, 2917200, 108150780, 4850518269, 257827235520, 15978078982389, 1139042647968096, 92364503720316726, 8439008013526902906, 861692986696232539398, 97635567184812702273234, 12199893866233489801453323, 1671886886212411035295719261

Offset

0,2

Links

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

Formula

E.g.f. A(x) satisfies: A(log(1+x)) = 1 + 3*x*A(x).

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

Prog

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=3*sum(j=1, i, j*stirling(i, j, 2)*v[j])); v;

Crossrefs

Cf. A213357, A355083.

Cf. A355101.

Sequence in context: A290129 A365602 A371006 * A205319 A377790 A355099

Adjacent sequences: A355089 A355090 A355091 * A355093 A355094 A355095

Keyword

nonn

Author

Seiichi Manyama, Jun 19 2022

Status

approved