A385059 E.g.f. A(x) satisfies A(x) = exp(x*A(x)/A(-x*A(x))^2).
1, 1, 7, 40, 397, 2336, -46601, -2661896, -125428775, -3724273664, -90080842229, 1096530753176, 400257318802213, 36023363702572000, 2951479723885410943, 178834401869241704056, 8444450128124255913649, -59239960097902788177664, -92000068200778017857238125
Offset: 0
Keywords
Programs
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PARI
a(n, k=-1) = if(n*k==0, 0^n, (-1)^n*k*sum(j=1, n, (-n+k)^(j-1)*binomial(n, j)*a(n-j, 2*j)));
Formula
See A385062.