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 A371932 #11 Apr 13 2024 14:38:24 %S A371932 1,2,2,26,50,706,1650,24282,62370,940610,2554530,39150810,110311762, %T A371932 1709993346,4945525650,77314273562,228002115650,3587763069826, %U A371932 10741365151810,169903043416730,514833595840370,8177978884039490,25025386537586610 %N A371932 G.f. A(x) satisfies A(x) = 1 + x/A(x)^2 * (1 + A(x)^5). %F A371932 a(n) = (-1)^(n-1) * (1/n) * Sum_{k=0..n} binomial(n,k) * binomial(3*n-5*k-2,n-1) for n > 0. %F A371932 a(n) == 2 (mod 8) for n > 0. - _Hugo Pfoertner_, Apr 13 2024 %o A371932 (PARI) a(n) = if(n==0, 1, (-1)^(n-1)*sum(k=0, n, binomial(n, k)*binomial(3*n-5*k-2, n-1))/n); %Y A371932 Cf. A364393, A364394, A364396, A364397, A366364, A371893. %Y A371932 Cf. A349312, A366268, A371562, A371341. %K A371932 nonn %O A371932 0,2 %A A371932 _Seiichi Manyama_, Apr 13 2024