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 A364373 #9 Jul 21 2023 11:09:48 %S A364373 1,0,-1,4,-12,26,-14,-236,1604,-6577,17827,-14064,-186496,1437856, %T A364373 -6416576,18733256,-17358808,-201270728,1652571996,-7692333934, %U A364373 23375782030,-23913813710,-250917362258,2147925544190,-10270145045142,32053993413694,-35259817590134 %N A364373 G.f. satisfies A(x) = (1 + x) * (1 - x*A(x)^4). %F A364373 a(n) = Sum_{k=0..n} (-1)^k * binomial(4*k+1,k) * binomial(4*k+1,n-k) / (4*k+1). %o A364373 (PARI) a(n) = sum(k=0, n, (-1)^k*binomial(4*k+1, k)*binomial(4*k+1, n-k)/(4*k+1)); %Y A364373 Cf. A364371, A364372. %Y A364373 Cf. A364337. %K A364373 sign %O A364373 0,4 %A A364373 _Seiichi Manyama_, Jul 20 2023