A374615 a(n) = Sum_{k=0..n} (k/n)^3 * binomial(n,k)^5.
1, 5, 82, 1421, 29626, 657662, 15528640, 381137549, 9656742322, 250689517130, 6638957500924, 178721359853390, 4878005765458528, 134712060315562784, 3758101325718600832, 105769714118196065933, 3000003700599260555650, 85677293959381174518986
Offset: 1
Keywords
Programs
-
PARI
a(n) = sum(k=0, n-1, binomial(n-1, k)^3*binomial(n, k)^2);
Formula
a(n) = Sum_{k=0..n-1} binomial(n-1,k)^3 * binomial(n,k)^2.