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 A379284 #10 Dec 20 2024 02:44:47
%S A379284 1,2,15,158,1943,26099,371128,5491868,83692617,1304579981,20703125143,
%T A379284 333366138381,5433036837372,89448269251685,1485469625972490,
%U A379284 24854484773368344,418581393456669989,7090045259711970090,120706208890692261466,2064356606197948427512,35449776962011108029539
%N A379284 G.f. A(x) satisfies A(x) = 1/((1 - x*A(x)^2) * (1 - x*A(x)^4)).
%F A379284 a(n) = Sum_{k=0..n} binomial(2*n+3*k+1,k) * binomial(3*n+k,n-k)/(2*n+3*k+1).
%o A379284 (PARI) a(n) = sum(k=0, n, binomial(2*n+3*k+1, k)*binomial(3*n+k, n-k)/(2*n+3*k+1));
%Y A379284 Cf. A118969, A199475, A379209, A379285, A379286, A379287.
%K A379284 nonn
%O A379284 0,2
%A A379284 _Seiichi Manyama_, Dec 19 2024