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E.g.f. satisfies A(x) = 1 + log(1 + x*A(x)^2).
3

%I #26 Nov 07 2023 08:27:39

%S 1,1,3,14,82,514,2508,-12328,-820752,-22232232,-498433320,-9865850688,

%T -159373484448,-1136343398880,65056426313760,4663237803223680,

%U 210535052582008320,7821007002377349120,242387957802121971840,5333182310844833642496

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

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

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

%Y Cf. A185221, A367079.

%Y Cf. A367080, A367153.

%K sign

%O 0,3

%A _Seiichi Manyama_, Nov 07 2023