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