%I A145348
%S A145348 1,1,4,30,312,3965,57824,933998,16346728,305539046,6037780164,
%T A145348 125227212342,2711254371568,61021656441091,1423063422363676,
%U A145348 34297379607790288,852463916004336464,21812807282389353798
%N A145348 G.f. satisfies: A(x/A(x)^2) = 1 + x*A(x)^2.
%F A145348 G.f.: A(x) = 1 + x*G(x)^4 where G(x) = A(x*G(x)^2) and A(x) = G(x/A(x)^2).
%e A145348 G.f.: A(x) = 1 + x + 4*x^2 + 30*x^3 + 312*x^4 + 3965*x^5 +...
%e A145348 A(x)^2 = 1 + 2*x + 9*x^2 + 68*x^3 + 700*x^4 + 8794*x^5 + 126974*x^6+..
%e A145348 A(x/A(x)^2) = 1 + x + 2*x^2 + 9*x^3 + 68*x^4 + 700*x^5 + 8794*x^6 +...
%e A145348 A(x) = 1 + x*G(x)^4 where G(x) = A(x*G(x)^2):
%e A145348 G(x) = 1 + x + 6*x^2 + 59*x^3 + 742*x^4 + 10877*x^5 + 177612*x^6 +...
%e A145348 G(x)^2 = 1 + 2*x + 13*x^2 + 130*x^3 + 1638*x^4 + 23946*x^5 +...
%o A145348 (PARI) {a(n)=local(F=1+x,G);for(i=0,n,G=serreverse(x/(F+x*O(x^n))^2)/
               x;F=1+x*G^2);polcoeff(F,n)}
%Y A145348 Sequence in context: A054972 A052452 A088794 this_sequence A052574 A158834 
               A139086
%Y A145348 Adjacent sequences: A145345 A145346 A145347 this_sequence A145349 A145350 
               A145351
%K A145348 nonn
%O A145348 0,3
%A A145348 Paul D. Hanna (pauldhanna(AT)juno.com), Nov 09 2008