A367153 E.g.f. satisfies A(x) = 2 - exp(-x*A(x)^2).

1, 1, 3, 13, 55, -59, -8869, -230019, -4735569, -81845819, -925266221, 11304277117, 1342388191079, 64570153427781, 2378028350945547, 68237841920780221, 1044508709568828511, -45901762542718407035, -5887687395597254917885, -396339747040666473203907

Offset: 0

Author

Seiichi Manyama, Nov 07 2023

Keywords

• sign

Crossrefs

Cf. A097718, A367154.

Cf. A367078, A367080.

Programs

PARI

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

Formula

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