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G.f. satisfies: A(x) = (1 + x*A(2x))^4.
3

%I #4 Mar 14 2015 11:49:00

%S 1,4,38,708,24961,1682688,220959136,57266675520,29497077110720,

%T 30294634141775360,62134850895148484608,254691311135373319017472,

%U 2087196424913845641682560512,34202892422993270952623113994240

%N G.f. satisfies: A(x) = (1 + x*A(2x))^4.

%F Self-convolution 4th power of A171202 where a(n) = A171202(n+1)/2^n for n>=0.

%o (PARI) {a(n)=local(A=1+x+x*O(x^n)); for(i=0, n, A=(1+x*subst(A, x, 2*x))^4); polcoeff(A, n)}

%Y Cf. A135868, A171200, A171201, A171202, A171204-A171211.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Dec 05 2009