This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A366364 #9 Oct 08 2023 10:50:32 %S A366364 1,2,-2,14,-70,426,-2714,18118,-124814,881042,-6339058,46318334, %T A366364 -342769750,2563781690,-19350683018,147197511222,-1127334112542, %U A366364 8685458120226,-67270210217186,523472089991662,-4090668558473318,32088204418069450,-252576222775705466 %N A366364 G.f. satisfies A(x) = (1 + x/A(x)^2)/(1 - x). %F A366364 a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(3*k-1,k) * binomial(2*k-1,n-k)/(3*k-1). %o A366364 (PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(3*k-1, k)*binomial(2*k-1, n-k)/(3*k-1)); %Y A366364 Cf. A346626, A349310, A349311, A349312, A349313, A349314, A366363, A366365, A366366. %Y A366364 Cf. A366357. %K A366364 sign %O A366364 0,2 %A A366364 _Seiichi Manyama_, Oct 08 2023