A377491 E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x*A(x)) - 1))^3.

1, 3, 51, 1692, 85245, 5799348, 498288327, 51799641372, 6323803975545, 887056541576820, 140606281908386763, 24856199282033820396, 4848804928048309664181, 1034685331580238018659748, 239758404709207383049312239, 59955226332194712661373725884

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Formula

E.g.f.: B(x)^3, where B(x) is the e.g.f. of A377498.

a(n) = 3 * Sum_{k=0..n} (3*n+4*k+2)!/(3*n+3*k+3)! * Stirling2(n,k).

Prog

(PARI) a(n) = 3*sum(k=0, n, (3*n+4*k+2)!/(3*n+3*k+3)!*stirling(n, k, 2));

Crossrefs

Cf. A367162, A377490.

Cf. A377498.

Sequence in context: A355797 A246693 A187666 * A377493 A172434 A210676

Adjacent sequences: A377488 A377489 A377490 * A377492 A377493 A377494

Keyword

nonn

Author

Seiichi Manyama, Oct 29 2024

Status

approved