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 A324567 #5 Mar 08 2019 15:53:05 %S A324567 2,8,2400,1247616000,47391629172572160000, %T A324567 5433273487668074503912921497600000000, %U A324567 84476763043100284572577776893541858819157327099409203200000000 %N A324567 a(n) = Product_{i=0..n, j=0..n} (binomial(2*i, j) + binomial(2*j, i)). %F A324567 a(n) ~ c * d^n * exp(2*n^3/3 + 9*n^2/4) / (2^(n^2) * Pi^(n^2/2) * n^(n^2/2 + 5*n/6 - alfa)), where %F A324567 d = 2.631186542501652610455988727776308850706336468478433795517960445788077147... %F A324567 alfa = 0.094637735750903047180156176044316953484876143616883847755312100285099... %F A324567 c = 0.121223472988717836553569221604723373713338356783096... %t A324567 Table[Product[Binomial[2*i, j] + Binomial[2*j, i], {i, 0, n}, {j, 0, n}], {n, 0, 7}] %Y A324567 Cf. A000984, A007685, A324566, A324568. %K A324567 nonn %O A324567 0,1 %A A324567 _Vaclav Kotesovec_, Mar 07 2019