A357011 E.g.f. satisfies A(x) * log(A(x)) = exp(x * A(x)^3) - 1.

1, 1, 6, 74, 1407, 36357, 1190476, 47254783, 2205546706, 118378505742, 7184030384361, 486440226752911, 36358328607088010, 2973464028723984551, 264119772408892921774, 25321946948812001539166, 2606224408648404660237647, 286624141573198517220290837

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..340

Formula

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

Prog

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

Crossrefs

Cf. A349583, A349588, A349601.

Cf. A216136, A356960, A356973.

Sequence in context: A269337 A057783 A317344 * A231691 A177561 A269334

Adjacent sequences: A357008 A357009 A357010 * A357012 A357013 A357014

Keyword

nonn

Author

Seiichi Manyama, Sep 08 2022

Status

approved