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 A374615 #9 Jul 14 2024 08:54:28 %S A374615 1,5,82,1421,29626,657662,15528640,381137549,9656742322,250689517130, %T A374615 6638957500924,178721359853390,4878005765458528,134712060315562784, %U A374615 3758101325718600832,105769714118196065933,3000003700599260555650,85677293959381174518986 %N A374615 a(n) = Sum_{k=0..n} (k/n)^3 * binomial(n,k)^5. %F A374615 a(n) = Sum_{k=0..n-1} binomial(n-1,k)^3 * binomial(n,k)^2. %o A374615 (PARI) a(n) = sum(k=0, n-1, binomial(n-1, k)^3*binomial(n, k)^2); %Y A374615 Cf. A005261, A374614, A374616. %Y A374615 Cf. A181069. %K A374615 nonn %O A374615 1,2 %A A374615 _Seiichi Manyama_, Jul 14 2024