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A194787 E.g.f. A(x) = G(x)^G(x) where G(x) = 1 + x*G(x)^G(x) is the e.g.f. of A194786.

%I A194787 #9 Aug 24 2024 10:52:28
%S A194787 1,1,4,27,272,3630,60714,1221864,28779120,776965680,23662145160,
%T A194787 802640076480,30014281406856,1226796674341056,54417859649294400,
%U A194787 2603641529587553280,133660822187138916480,7328549084322230968320,427437378614564995967424
%N A194787 E.g.f. A(x) = G(x)^G(x) where G(x) = 1 + x*G(x)^G(x) is the e.g.f. of A194786.
%F A194787 a(n) = A194786(n+1)/(n+1).
%e A194787 E.g.f.: A(x) = 1 + x + 4*x^2/2! + 27*x^3/3! + 272*x^4/4! + 3630*x^5/5! +...
%e A194787 where A(x) = G(x)^G(x) and G(x) is the e.g.f. of A194786:
%e A194787 G(x) = 1 + x + 2*x^2/2! + 12*x^3/3! + 108*x^4/4! + 1360*x^5/5! +...
%o A194787 (PARI) {a(n)=local(A=1+x);for(i=1,n,A=1+x*(A+x*O(x^n))^A);n!*polcoeff(A^A,n)}
%Y A194787 Cf. A194786.
%K A194787 nonn
%O A194787 0,3
%A A194787 _Paul D. Hanna_, Sep 02 2011