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%I #8 Jul 14 2024 08:54:24
%S 1,3,52,815,16806,363132,8471296,205501599,5164447210,133153140098,
%T 3506969720904,93973493327012,2554956958697248,70323373958110080,
%U 1956176944656294912,54916687591986040223,1554166975730511463794,44297812047491490990366
%N a(n) = Sum_{k=0..n} (k/n)^4 * binomial(n,k)^5.
%F a(n) = Sum_{k=0..n-1} binomial(n-1,k)^4 * binomial(n,k).
%o (PARI) a(n) = sum(k=0, n-1, binomial(n-1, k)^4*binomial(n, k));
%Y Cf. A005261, A374614, A374615.
%K nonn
%O 1,2
%A _Seiichi Manyama_, Jul 14 2024
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