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%I #11 Jul 25 2023 08:44:44
%S 1,1,11,281,13731,1245601,213268203,70580511385,45914883339027,
%T 59241954299963729,152258885235304955131,781096727709105092232777,
%U 8006263111571482684378716067,164048440920655457493139473502081
%N G.f. satisfies A(x) = 1/(1 - x*A(2x)^5).
%H Seiichi Manyama, <a href="/A171195/b171195.txt">Table of n, a(n) for n = 0..79</a>
%F a(n) ~ c * 2^(n*(n-1)/2) * 5^n, where c = 0.444871440417987089861554304425221691031547... - _Vaclav Kotesovec_, Nov 03 2021
%t nmax = 15; A[_] = 0; Do[A[x_] = 1/(1 - x*A[2*x]^5) + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x] (* _Vaclav Kotesovec_, Nov 03 2021 *)
%o (PARI) {a(n)=local(A=1+x+x*O(x^n)); for(i=0, n, A=1/(1-x*subst(A, x, 2*x)^5) ); polcoeff(A, n)}
%Y Cf. A015083, A171192-A171194, A171196-A171198.
%K nonn
%O 0,3
%A _Paul D. Hanna_, Dec 05 2009
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