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%I #19 Oct 22 2023 17:10:18
%S 1,2,-3,14,-78,479,-3131,21372,-150588,1087057,-7998295,59763129,
%T -452257495,3459109408,-26697940390,207672518808,-1626400971710,
%U 12813379464399,-101482102525511,807524595076284,-6452856224076654,51760509258982478,-416620859045829372
%N G.f. satisfies A(x) = (1 + x) * (1 + x/A(x)^2).
%H Winston de Greef, <a href="/A366326/b366326.txt">Table of n, a(n) for n = 0..1067</a>
%F a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(3*k-1,k) * binomial(n+k-2,n-k)/(3*k-1).
%o (PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(3*k-1, k)*binomial(n+k-2, n-k)/(3*k-1));
%Y Cf. A073157, A364336, A364337, A364338, A364339, A366325, A366327, A366328.
%Y Cf. A006013, A364393.
%K sign
%O 0,2
%A _Seiichi Manyama_, Oct 07 2023
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