A355765 - OEIS

%I #11 Jul 16 2022 11:49:34

%S 1,1,-2,5,-27,307,-4403,71353,-1333090,28816647,-709090995,

%T 19516306141,-593330123807,19747569261851,-714304238263502,

%U 27903505800651169,-1170716239531658759,52503701213718494671,-2506483879112555156467,126905975195788734150405

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

%F a(n) = Sum_{k=0..n} (-1)^(n-k) * (n-2*k+1)^(k-1) * Stirling2(n,k).

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

%Y Cf. A334986, A349589.

%K sign

%O 0,3

%A _Seiichi Manyama_, Jul 16 2022