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 A379286 #10 Dec 20 2024 02:46:43
%S A379286 1,2,17,209,3025,47975,806673,14126236,254880645,4705443504,
%T A379286 88458542000,1687588704861,32589587581341,635824437818621,
%U A379286 12513756861585915,248148065577971460,4953215882123744005,99442753396113435246,2006704742456528041800,40679834776076235917841
%N A379286 G.f. A(x) satisfies A(x) = 1/((1 - x*A(x)^2) * (1 - x*A(x)^5)).
%F A379286 a(n) = Sum_{k=0..n} binomial(2*n+4*k+1,k) * binomial(3*n+2*k,n-k)/(2*n+4*k+1).
%o A379286 (PARI) a(n) = sum(k=0, n, binomial(2*n+4*k+1, k)*binomial(3*n+2*k, n-k)/(2*n+4*k+1));
%Y A379286 Cf. A118969, A199475, A379209, A379284, A379285, A379287.
%K A379286 nonn
%O A379286 0,2
%A A379286 _Seiichi Manyama_, Dec 19 2024