Let $ a_1=2, a_2=5$ and $ a_{n+2}=(2-n^2)a_{n+1}+ (2+n^2)a_n$ for $ n\geq 1$. Do there exist $ p,q,r$ so that $ a_pa_q =a_r$?
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Tags: algebra proposed, algebra
Let $ a_1=2, a_2=5$ and $ a_{n+2}=(2-n^2)a_{n+1}+ (2+n^2)a_n$ for $ n\geq 1$. Do there exist $ p,q,r$ so that $ a_pa_q =a_r$?