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 A346184 #4 Jul 09 2021 12:50:37
%S A346184 1,1,6,96,2330,76230,3132192,154830704,8942749020,590880389676,
%T A346184 43950871549640,3634094909879808,330648849617038680,
%U A346184 32827596801363717080,3531510395923598074560,409199784951469138012800,50807611780916913209679632,6729703201077108496483268880
%N A346184 a(n) = Sum_{k=0..n} binomial(n,k) * binomial(k^2, n).
%F A346184 a(n) ~ 2^(2*n - 1/2) * n^(n - 1/2) / (sqrt(Pi*(1+c)) * exp(n + (2+c)^2/8) * (c*(2+c))^n), where c = LambertW(2*exp(-2)) = 0.21771510575709011079475830443...
%t A346184 Table[Sum[Binomial[n, k]*Binomial[k^2, n], {k, 0, n}], {n, 0, 20}]
%Y A346184 Cf. A003235, A346183.
%K A346184 nonn
%O A346184 0,3
%A A346184 _Vaclav Kotesovec_, Jul 09 2021