A374616 a(n) = Sum_{k=0..n} (k/n)^4 * binomial(n,k)^5.
1, 3, 52, 815, 16806, 363132, 8471296, 205501599, 5164447210, 133153140098, 3506969720904, 93973493327012, 2554956958697248, 70323373958110080, 1956176944656294912, 54916687591986040223, 1554166975730511463794, 44297812047491490990366
Offset: 1
Keywords
Programs
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PARI
a(n) = sum(k=0, n-1, binomial(n-1, k)^4*binomial(n, k));
Formula
a(n) = Sum_{k=0..n-1} binomial(n-1,k)^4 * binomial(n,k).