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A120975 G.f. satisfies: A(x) = 1 + x*A(x)^4*[A(x*A(x)^4)]^4. 4

%I #4 Mar 30 2012 18:36:58

%S 1,1,8,108,1888,38798,894308,22517256,609112756,17507219813,

%T 530495478900,16850219461706,558608940038072,19263089278722726,

%U 689119527976265884,25519081467271687938,976447764170903902364

%N G.f. satisfies: A(x) = 1 + x*A(x)^4*[A(x*A(x)^4)]^4.

%F G.f. A(x) satisfies: A(x) = G(G(x)-1), A(G(x)-1) = G(A(x)-1), A(x) = G(x*A(x)^4) and A(x/G(x)^4) = G(x), where G(x) is the g.f. of A120974 and satisfies G(x/G(x)^4) = 1 + x.

%o (PARI) {a(n)=local(A,G=[1,1]);for(i=1,n,G=concat(G,0); G[ #G]=-Vec(subst(Ser(G),x,x/Ser(G)^4))[ #G]); A=Vec(((Ser(G)-1)/x)^(1/4));A[n+1]}

%Y Cf. A120974; variants: A120971, A120973, A120977.

%K nonn

%O 0,3

%A _Paul D. Hanna_, Jul 20 2006

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