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A231868 E.g.f. satisfies: A'(x) = A(x*A(x)) with A(0)=1.

%I A231868 #9 Nov 16 2016 03:49:05
%S A231868 1,1,1,3,12,84,774,9468,146052,2764980,62759736,1678881096,
%T A231868 52185496464,1862666455104,75581146734912,3456542059903296,
%U A231868 176834245093202736,10053690187338014256,631507398302281340736,43596564604477924096512,3292312674449093132923488
%N A231868 E.g.f. satisfies: A'(x) = A(x*A(x)) with A(0)=1.
%H A231868 Vaclav Kotesovec, <a href="/A231868/b231868.txt">Table of n, a(n) for n = 0..175</a>
%F A231868 E.g.f. satisfies: A(x) = 1 + Integral( A(x*A(x)) dx).
%e A231868 E.g.f.: A(x) = 1 + x + x^2/2! + 3*x^3/3! + 12*x^4/4! + 84*x^5/5! + 774*x^6/6! + ...
%e A231868 such that
%e A231868 A(x*A(x)) = A'(x) = 1 + x + 3*x^2/2! + 12*x^3/3! + 84*x^4/4! + 774*x^5/5! + ...
%o A231868 (PARI) {a(n)=local(A=1+x);for(i=1,n,A=1+intformal(subst(A,x,x*A +x*O(x^n))));n!*polcoeff(A,n)}
%o A231868 for(n=0,25,print1(a(n),", "))
%Y A231868 Cf. A001028, A231619.
%K A231868 nonn
%O A231868 0,4
%A A231868 _Paul D. Hanna_, Nov 14 2013