E.g.f. A(x) satisfies: A(x) = P(x)/Q(x) where P(x) = Sum_{n>=0} (n+1)*x^n*A(x)^(2*n)*exp(x*A(x)^n)/n! and Q(x) = Sum_{n>=0} x^n*A(x)^n*exp(x*A(x)^(n+1))/n!.

A340939

E.g.f. A(x) satisfies: A(x) = P(x)/Q(x) where P(x) = Sum_{n>=0} (n+1)*x^n*A(x)^(2*n)*exp(x*A(x)^n)/n! and Q(x) = Sum_{n>=0} x^n*A(x)^n*exp(x*A(x)^(n+1))/n!.

Terms

    a(0) =1a(1) =1a(2) =4a(3) =42a(4) =648a(5) =13620a(6) =362520a(7) =11696160a(8) =443748480a(9) =19362566160a(10) =955384416000

External references