A377348 E.g.f. satisfies A(x) = 1 + (exp(x*A(x)^3) - 1)/A(x)^3.

1, 1, 1, 10, 79, 946, 14653, 267478, 5817187, 145061146, 4089128425, 128703410254, 4470302200087, 169912192575490, 7014628977829237, 312570024564324358, 14952747796689292747, 764341021646724256426, 41578052013117358139809, 2398149800670737138081470

Offset: 0

Author

Seiichi Manyama, Oct 26 2024

Keywords

• nonn

Crossrefs

Cf. A052752, A367135, A367181, A377324, A377328.

Cf. A377326, A377347.

Programs

PARI

a(n) = sum(k=0, (3*n+1)\4, (3*n-3*k)!/(3*n-4*k+1)!*stirling(n, k, 2));

Formula

a(n) = Sum_{k=0..floor((3*n+1)/4)} (3*n-3*k)!/(3*n-4*k+1)! * Stirling2(n,k).