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 A364734 #13 Aug 05 2023 13:12:01 %S A364734 1,1,2,9,48,276,1687,10750,70597,474478,3247844,22563904,158693152, %T A364734 1127661358,8083795761,58390722901,424562043703,3104994695198, %U A364734 22825260066996,168564068029385,1249985066423749,9303815610715531,69483859839881494,520527161650519576 %N A364734 G.f. satisfies A(x) = 1 + x*A(x) / (1 - x*A(x)^5). %F A364734 a(n) = (1/n) * Sum_{k=0..n-1} binomial(n,k) * binomial(n+4*k,n-1-k) for n > 0. %o A364734 (PARI) a(n) = if(n==0, 1, sum(k=0, n-1, binomial(n, k)*binomial(n+4*k, n-1-k))/n); %Y A364734 Cf. A000108, A106228, A300048, A364723. %Y A364734 Cf. A364740. %K A364734 nonn %O A364734 0,3 %A A364734 _Seiichi Manyama_, Aug 05 2023