A377493 E.g.f. satisfies A(x) = 1/(1 + A(x) * log(1 - x*A(x)))^3.

1, 3, 51, 1695, 85524, 5826402, 501281256, 52178851302, 6378309961152, 895845418408992, 142179729906910680, 25166131508370202776, 4915451890368514588032, 1050225776987234559170976, 243664809398578134394019712, 61008419406811276254021582384

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 A377497.

a(n) = 3 * Sum_{k=0..n} (3*n+4*k+2)!/(3*n+3*k+3)! * |Stirling1(n,k)|.

Prog

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

Crossrefs

Cf. A367159, A377492.

Cf. A377497.

Sequence in context: A246693 A187666 A377491 * A172434 A210676 A105639

Adjacent sequences: A377490 A377491 A377492 * A377494 A377495 A377496

Keyword

nonn

Author

Seiichi Manyama, Oct 29 2024

Status

approved