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In this paper, we determine all the squares in the sequence$\{\prod_{k=2}^n(k^2-1)\}_{n=2}^\infty $. From this, one deduces that there areinfinitely many squares in this sequence. We also give a formula for the$p$-adic valuation of the terms in this sequence.

SQUARES IN (22 - 1)…(n2 - 1) AND p-ADIC VALUATION

SQUARES IN (2² - 1)…(n² - 1) AND p-ADIC VALUATION