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 A364736 #11 Aug 05 2023 13:12:10 %S A364736 1,1,0,-3,-3,17,45,-90,-546,130,5832,7074,-53625,-159214,374517, %T A364736 2419131,-728364,-30011530,-37519884,307731042,940757526,-2343385995, %U A364736 -15421126275,5164279686,203045257272,255851517115,-2186669342070,-6760669947375,17391580425180 %N A364736 G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x)^3). %F A364736 a(n) = (1/n) * Sum_{k=0..n-1} (-1)^k * binomial(n,k) * binomial(n+2*k,n-1-k) for n > 0. %o A364736 (PARI) a(n) = if(n==0, 1, sum(k=0, n-1, (-1)^k*binomial(n, k)*binomial(n+2*k, n-1-k))/n); %Y A364736 Cf. A364735, A364737, A364738. %Y A364736 Cf. A300048. %K A364736 sign %O A364736 0,4 %A A364736 _Seiichi Manyama_, Aug 05 2023