Squares in (2²-1)...(n²-1) and p-adic valuation
classification
🧮 math.NT
keywords
sequencesquaresvaluationadicdeducesdetermineformulagive
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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 are infinitely many squares in this sequence. We also give a formula for the $p$-adic valuation of the terms in this sequence.
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