%I #10 Mar 16 2024 11:07:39
%S 1,0,0,6,12,40,5220,41328,339360,28477440,489877920,7325176320,
%T 501467630400,14323336634880,333439476289920,21001701037363200,
%U 849627551212876800,27872303353627299840,1742879646852427791360,90170933394707691724800
%N E.g.f. satisfies A(x) = 1 - x^2*A(x)^5*log(1 - x*A(x)^2).
%F a(n) = (n!/(2*n+1)!) * Sum_{k=0..floor(n/3)} (2*n+k)! * |Stirling1(n-2*k,k)|/(n-2*k)!.
%o (PARI) a(n) = n!*sum(k=0, n\3, (2*n+k)!*abs(stirling(n-2*k, k, 1))/(n-2*k)!)/(2*n+1)!;
%Y Cf. A371233, A371234.
%Y Cf. A371230.
%K nonn
%O 0,4
%A _Seiichi Manyama_, Mar 15 2024
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