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

0,4

Links

Table of n, a(n) for n=0..19.

Formula

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

Prog

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

Crossrefs

Cf. A185221, A367179.

Cf. A365438, A367180.

Sequence in context: A110219 A174413 A162990 * A092960 A323515 A144153

Adjacent sequences: A366726 A366727 A366728 * A366730 A366731 A366732

Keyword

sign

Author

Seiichi Manyama, Nov 08 2023

Status

approved