Consider a sequence \(a_{n} ; n \in N\) with \(a_{0}=a_{1}=a_{2}=a_{3} =1\) and \(a_{n} a_{n-4} = a_{n-1}a_{n-3} +a^{2}_{n-2} \) for all n>3.

Prove that all the terms of this sequence are integers.

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TopNewestuse P.M.I , it is easy , this way .

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I too need help in this question.

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@Sharky Kesa

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What have you tried? Where are you stuck?

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