A366729 E.g.f. satisfies A(x) = 1 + log(1 + x*A(x)^2)/A(x).

1, 1, 1, -4, -36, 14, 3100, 22112, -374640, -9520320, 9674808, 4085208192, 55207595520, -1640647901088, -69445046214336, 103240707929088, 71686341699216384, 1439635203885275136, -60449514895261440000, -3608840044036879934976

Offset: 0

Author

Seiichi Manyama, Nov 08 2023

Keywords

• sign

Crossrefs

Cf. A185221, A367179.

Cf. A365438, A367180.

Programs

PARI

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

Formula

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