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 A366365 #9 Oct 08 2023 10:50:29 %S A366365 1,2,-4,32,-240,2064,-18816,179264,-1762816,17758976,-182342400, %T A366365 1901196288,-20075427840,214246524928,-2307200135168,25039992254464, %U A366365 -273603550461952,3007387399258112,-33230774508716032,368915340555517952,-4112806343370539008 %N A366365 G.f. satisfies A(x) = (1 + x/A(x)^3)/(1 - x). %F A366365 a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(4*k-1,k) * binomial(3*k-1,n-k)/(4*k-1). %o A366365 (PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(4*k-1, k)*binomial(3*k-1, n-k)/(4*k-1)); %Y A366365 Cf. A346626, A349310, A349311, A349312, A349313, A349314, A366363, A366364, A366366. %Y A366365 Cf. A366358. %K A366365 sign %O A366365 0,2 %A A366365 _Seiichi Manyama_, Oct 08 2023