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 A379037 #10 Dec 14 2024 09:13:44
%S A379037 1,4,18,106,689,4782,34707,260190,1999168,15660176,124596498,
%T A379037 1004110948,8179379807,67239070868,557098881919,4647368670950,
%U A379037 39001655222787,329048378867468,2789241880512898,23743798316713368,202894843070927859,1739775692700850554
%N A379037 G.f. A(x) satisfies A(x) = ( (1 + x) * (1 + x*A(x)^(3/2)) )^2.
%F A379037 G.f.: A(x) = B(x)^2 where B(x) is the g.f. of A364336.
%F A379037 a(n) = 2 * Sum_{k=0..n} binomial(3*k+2,k) * binomial(3*k+2,n-k)/(3*k+2).
%o A379037 (PARI) a(n) = 2*sum(k=0, n, binomial(3*k+2, k)*binomial(3*k+2, n-k)/(3*k+2));
%Y A379037 Cf. A004798, A073155, A379039.
%Y A379037 Cf. A364336, A366200.
%K A379037 nonn
%O A379037 0,2
%A A379037 _Seiichi Manyama_, Dec 14 2024