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%I #9 Oct 11 2023 08:40:19
%S 1,1,4,16,74,366,1900,10210,56315,317005,1813860,10518652,61684208,
%T 365177622,2179549853,13100686947,79232836206,481821573994,
%U 2944253855746,18069720545174,111333779015326,688399685561554,4270250156814421,26567075153764929
%N G.f. A(x) satisfies A(x) = 1 + x*(1+x)^(3/2)*A(x)^(5/2).
%F G.f.: A(x) = 1/B(-x) where B(x) is the g.f. of A366433.
%F a(n) = Sum_{k=0..n} binomial(3*k/2,n-k) * binomial(5*k/2,k) / (3*k/2+1).
%o (PARI) a(n) = sum(k=0, n, binomial(3*k/2, n-k)*binomial(5*k/2, k)/(3*k/2+1));
%Y Cf. A001006, A366221, A366272, A366273, A366496, A366497, A366498, A366499, A366500, A366501.
%Y Cf. A366433.
%K nonn
%O 0,3
%A _Seiichi Manyama_, Oct 11 2023
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