E.g.f.: A(x) = exp(x*A(x)*exp(x*A(x)^2*exp(x*A(x)^3*exp(x*A(x)^4*exp(...))))), an infinite power tower. 1, 1, 5, 55, 981, 24621, 803143, 32390247, 1560845289, 87688371385
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