Let the index of the largest prime power that divides n! be k then the smallest number such that n!*a(n) is a perfect k-th power.

A074190

Let the index of the largest prime power that divides n! be k then the smallest number such that n!*a(n) is a perfect k-th power.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =9a(4) =225a(5) =1125a(6) =385875a(7) =446698546875a(8) =49633171875

External references