A377717 E.g.f. satisfies A(x) = (1 + (exp(x) - 1) * A(x))^3.

1, 3, 27, 405, 8703, 245493, 8608167, 361640205, 17727268383, 993980112453, 62774530115607, 4410751512076605, 341353603094403663, 28856102576884010613, 2645807719152819131847, 261551674681092859354605, 27732033282190658330940543, 3139533157528775981685527973

Offset

0,2

Links

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

Formula

E.g.f.: B(x)^3, where B(x) is the e.g.f. of A367161.

a(n) = 3 * Sum_{k=0..n} (3*k+2)!/(2*k+3)! * Stirling2(n,k).

Prog

(PARI) a(n) = 3*sum(k=0, n, (3*k+2)!/(2*k+3)!*stirling(n, k, 2));

Crossrefs

Cf. A000670, A377716.

Cf. A367161, A377693.

Sequence in context: A365586 A201696 A011781 * A377693 A094577 A221624

Adjacent sequences: A377714 A377715 A377716 * A377718 A377719 A377720

Keyword

nonn

Author

Seiichi Manyama, Nov 04 2024

Status

approved