[SOLVED] Define a sequence of real numbers by \(a_0=0\), \(a_1=1\), \(a_2=1\) and \[\large a_{n+3}=2a_{n+2}+2a_{n+1}-a_n\]Show that \(a_n\) is a perfect square for every \(n\in\mathbb{N}\)

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The recurrence relation seems pretty messy, so I will try to solve it inductively, T_T

For n=0.

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