A367159 E.g.f. satisfies A(x) = 1 - A(x)^2 * log(1 - x*A(x)).

1, 1, 7, 95, 1954, 54244, 1901560, 80648658, 4016874920, 229881369768, 14866341101064, 1072223706468672, 85337672738960736, 7429736462231570304, 702426961910810154624, 71667022709644235679120, 7848761844632669045606016, 918383128248130459272478080

Offset: 0

Author

Seiichi Manyama, Nov 07 2023

Keywords

• nonn

Crossrefs

Cf. A052802, A138013, A367160.

Programs

PARI

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

Formula

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