Squares in (2^2-1)...(n^2-1) and p-adic valuation

Shaofang Hong, Xingjiang Liu

In this paper, we determine all the squares in the sequence $\{{\prod }_{k=2}^n(k^2-1){\}}_{n=2}^{\infty }$. From this, one deduces that there are infinitely many squares in this sequence…