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A184575 G.f.: A(x) = 1+x*(1+x*(1+x*(...(1+x*(...)^(3^n) )...)^27)^9)^3.

%I A184575 #6 Mar 30 2012 18:37:25
%S A184575 1,1,3,30,892,76554,19138212,14126533902,31053145918644,
%T A184575 204151364083796877,4021430292908836847748,
%U A184575 237530957105884844479669995,42082478775006270167542801189164,22365250673182738144111737076795384386
%N A184575 G.f.: A(x) = 1+x*(1+x*(1+x*(...(1+x*(...)^(3^n) )...)^27)^9)^3.
%C A184575 Limit a(n)/3^[n(n-1)/2] = 1.361839192264541770366149558100...
%e A184575 G.f.: A(x) = 1 + x + 3*x^2 + 30*x^3 + 892*x^4 + 76554*x^5 +...
%e A184575 Related functions are defined by:
%e A184575 A(x) = 1 + x*B(x)^3;
%e A184575 B(x) = 1 + x*C(x)^9;
%e A184575 C(x) = 1 + x*D(x)^27;
%e A184575 D(x) = 1 + x*E(x)^81;
%e A184575 E(x) = 1 + x*F(x)^243; ...
%e A184575 where the coefficients in the above functions begin:
%e A184575 B=[1,1,9,279,24870,6324282,4695640434,10341522771762,...];
%e A184575 C=[1,1,27,2538,678708,515666952,1144737153180,7549554318496218,...];
%e A184575 D=[1,1,81,22923,18390510,41861447352,278471836036890,...];
%e A184575 E=[1,1,243,206550,497133612,3393278306694,67693048457727060,...];
%e A184575 F=[1,1,729,1859679,13427919990,274923122390262,16451387497191947778,...].
%o A184575 (PARI) {a(n)=local(A=1+x+x*O(x^n)); for(j=0, n-1, A=1+x*A^(3^(n-j))); polcoeff(A, n)}
%Y A184575 Cf. A120959, A184576, A184577.
%K A184575 nonn
%O A184575 0,3
%A A184575 _Paul D. Hanna_, Jan 17 2011