A367078 E.g.f. satisfies A(x) = 1 + log(1 + x*A(x)^2).

1, 1, 3, 14, 82, 514, 2508, -12328, -820752, -22232232, -498433320, -9865850688, -159373484448, -1136343398880, 65056426313760, 4663237803223680, 210535052582008320, 7821007002377349120, 242387957802121971840, 5333182310844833642496

Offset

0,3

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A185221, A367079.

Cf. A367080, A367153.

Sequence in context: A352151 A032332 A032080 * A291535 A333956 A194091

Adjacent sequences: A367075 A367076 A367077 * A367079 A367080 A367081

Keyword

sign

Author

Seiichi Manyama, Nov 07 2023

Status

approved