A number theory problem by Aquilino Madeira

Number Theory Level 2

Find the integer nn satisfying (n+1)! −3(n−1)!(n+1)! +3(n−1)!=5359\dfrac{{(n + 1)!\, - 3(n - 1)!}}{{(n + 1)!\, + 3(n - 1)!}} = \dfrac{{53}}{{59}} .

Aquilino Madeira by Aquilino Madeira
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