%I #11 Jul 25 2023 08:29:08
%S 1,1,13,397,23261,2532093,520285021,206632208765,161306955003037,
%T 249753449538341821,770275887324912000733,4741871606773351738426877,
%U 58325180751309642789169099037,1434100517517383561901937569640509
%N G.f. satisfies A(x) = 1/(1 - x*A(2x)^6).
%H Seiichi Manyama, <a href="/A171196/b171196.txt">Table of n, a(n) for n = 0..79</a>
%F a(n) ~ c * 2^(n*(n+1)/2) * 3^n, where c = 0.363484431362432363073577975298028185297326... - _Vaclav Kotesovec_, Nov 03 2021
%t nmax = 15; A[_] = 0; Do[A[x_] = 1/(1 - x*A[2*x]^6) + 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)^6) ); polcoeff(A, n)}
%Y Cf. A015083, A171192-A171195, A171197, A171198.
%K nonn
%O 0,3
%A _Paul D. Hanna_, Dec 05 2009
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