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 A134086 a(n) = [x^n] G(x)^(2^n) where G(x) satisfies: [x^(n+1)] G(x)^(2^n) = [x^n] G(x)^(2^n) for n>=0 and G(2x) is the g.f. of A134084. 5

%I #3 Mar 30 2012 18:37:07

%S 1,2,8,80,2464,255808,90320512,108630646016,451779274750464,

%T 6626041977171637248,348460175972420307970048,

%U 66523219303893985885632450560,46531358180797100870477866170818560

%N a(n) = [x^n] G(x)^(2^n) where G(x) satisfies: [x^(n+1)] G(x)^(2^n) = [x^n] G(x)^(2^n) for n>=0 and G(2x) is the g.f. of A134084.

%F a(n) = 2^n * A134088(n).

%o (PARI) {a(n)=local(A=[1],B);for(i=1,n,A=concat(A,0); B=Vec(Ser(A)^(2^(#A-2)));A[ #A]=(B[ #B-1]-B[ #B])/2^(#A-2));Vec(Ser(A)^(2^n))[n+1]}

%Y Cf. A134084, A134085, A134087, A134088, A134089.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Oct 26 2007

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