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 A374614 #11 Jun 16 2025 16:43:00
%S A374614 1,9,136,2585,54126,1227492,29226688,723533337,18438032890,
%T A374614 480994824134,12787403151744,345355150592036,9451729196625184,
%U A374614 261628075707534720,7313361005558843136,206190939973811373593,5857313490484652859282
%N A374614 a(n) = Sum_{k=0..n} (k/n)^2 * binomial(n,k)^5.
%F A374614 a(n) = Sum_{k=0..n-1} binomial(n-1,k)^2 * binomial(n,k)^3.
%t A374614 Table[Sum[(k/n)^2 Binomial[n,k]^5,{k,0,n}],{n,20}] (* _Harvey P. Dale_, Jun 16 2025 *)
%o A374614 (PARI) a(n) = sum(k=0, n-1, binomial(n-1, k)^2*binomial(n, k)^3);
%Y A374614 Cf. A005261, A374615, A374616.
%Y A374614 Cf. A181067, A198256.
%K A374614 nonn
%O A374614 1,2
%A A374614 _Seiichi Manyama_, Jul 14 2024