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 A364737 #11 Aug 05 2023 13:12:19 %S A364737 1,1,0,-4,-6,28,119,-116,-1820,-2128,22212,79877,-172700,-1652728, %T A364737 -857428,25387284,71506309,-268817888,-1838702048,449975584, %U A364737 33164610276,68575577309,-429542625096,-2221814345660,2539462697398,46048818685880,61721413191310 %N A364737 G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x)^4). %F A364737 a(n) = (1/n) * Sum_{k=0..n-1} (-1)^k * binomial(n,k) * binomial(n+3*k,n-1-k) for n > 0. %o A364737 (PARI) a(n) = if(n==0, 1, sum(k=0, n-1, (-1)^k*binomial(n, k)*binomial(n+3*k, n-1-k))/n); %Y A364737 Cf. A364735, A364736, A364738. %K A364737 sign %O A364737 0,4 %A A364737 _Seiichi Manyama_, Aug 05 2023