A377495 E.g.f. satisfies A(x) = 1/(1 - A(x)^2 * (exp(x*A(x)^2) - 1)).

1, 1, 11, 247, 8571, 404791, 24246439, 1761559647, 150540054611, 14798051914231, 1645040516034927, 204068062926942655, 27946847973073178587, 4188043229601371413911, 681707014005609312133175, 119774859918869807700934111, 22592863584958717501615734051, 4553853548371236985017395321335

Offset

0,3

Links

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

Formula

a(n) = Sum_{k=0..n} (2*n+3*k)!/(2*n+2*k+1)! * Stirling2(n,k).

Prog

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

Crossrefs

Cf. A000670, A367162, A377498.

Cf. A377490.

Sequence in context: A219089 A382038 A243683 * A377494 A323255 A167868

Adjacent sequences: A377492 A377493 A377494 * A377496 A377497 A377498

Keyword

nonn

Author

Seiichi Manyama, Oct 29 2024

Status

approved