%I #5 Apr 27 2012 01:22:35
%S 1,1,2,11,74,635,6296,70268,864106,11546531,165996792,2548556963,
%T 41546769324,715850868468,12986529841038,247255748839532,
%U 4926870211273246,102495266879754087,2221254395951869988,50049980203162990978,1170440788530570387644
%N G.f. satisfies: A(x) = 1 + x*A(x*A(x)^3)^2.
%e G.f.: A(x) = 1 + x + 2*x^2 + 11*x^3 + 74*x^4 + 635*x^5 + 6296*x^6 +...
%e Related expansions:
%e A(x)^2 = 1 + 2*x + 5*x^2 + 26*x^3 + 174*x^4 + 1462*x^5 + 14279*x^6 +...
%e A(x)^3 = 1 + 3*x + 9*x^2 + 46*x^3 + 306*x^4 + 2526*x^5 + 24311*x^6 +...
%e A(x*A(x)^3) = 1 + x + 5*x^2 + 32*x^3 + 273*x^4 + 2715*x^5 + 30542*x^6 + 379200*x^7 + 5117211*x^8 + 74266646*x^9 + 1150267802*x^10 +...
%o (PARI) {a(n)=local(A=1+x+x*O(x^n)); for(i=0, n, A=1+x*subst(A^3, x, x*A^3)); polcoeff(A, n)}
%o for(n=0,30,print1(a(n),", "))
%Y Cf. A143501, A143508, A212029.
%K nonn
%O 0,3
%A _Paul D. Hanna_, Apr 27 2012