A377490 E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x*A(x)) - 1))^2.

1, 2, 24, 560, 19844, 949632, 57398980, 4197775472, 360541351092, 35581415127200, 3968076446262116, 493536896206210320, 67738259336620421140, 10170114513821104697792, 1658107523049271429191492, 291735781263854493014688944, 55097256018925972909190946932

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Formula

E.g.f.: B(x)^2, where B(x) is the e.g.f. of A377495.

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

Prog

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

Crossrefs

Cf. A367162, A377491.

Cf. A377495.

Sequence in context: A210905 A012113 A156525 * A377492 A377425 A170904

Adjacent sequences: A377487 A377488 A377489 * A377491 A377492 A377493

Keyword

nonn

Author

Seiichi Manyama, Oct 29 2024

Status

approved