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A374614
a(n) = Sum_{k=0..n} (k/n)^2 * binomial(n,k)^5.
3
1, 9, 136, 2585, 54126, 1227492, 29226688, 723533337, 18438032890, 480994824134, 12787403151744, 345355150592036, 9451729196625184, 261628075707534720, 7313361005558843136, 206190939973811373593, 5857313490484652859282
OFFSET
1,2
FORMULA
a(n) = Sum_{k=0..n-1} binomial(n-1,k)^2 * binomial(n,k)^3.
PROG
(PARI) a(n) = sum(k=0, n-1, binomial(n-1, k)^2*binomial(n, k)^3);
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jul 14 2024
STATUS
approved