A377327 E.g.f. satisfies A(x) = 1 - A(x)^2 * log(1 - x*A(x)^3).

1, 1, 11, 251, 8858, 425534, 25928068, 1916213928, 166580610504, 16657218047328, 1883646389742624, 237695994684785592, 33113333472295201536, 5047818696187818951984, 835818979837614364874496, 149383091745519898076484480, 28663410267058615074689247360, 5877004345535507714104006175616

Offset

0,3

Links

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

Formula

a(n) = Sum_{k=0..n} (3*n+2*k)!/(3*n+k+1)! * |Stirling1(n,k)|.

Prog

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

Crossrefs

Cf. A365546, A367139, A367152, A377323.

Sequence in context: A056210 A182350 A190680 * A089298 A274129 A346896

Adjacent sequences: A377324 A377325 A377326 * A377328 A377329 A377330

Keyword

nonn

Author

Seiichi Manyama, Oct 25 2024

Status

approved