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Nizovi | Sequences #4

Niz je zadan s a_1=1 i a_{n+1}=\frac{a_n}{n}+\frac{n}{a_n}. Nađi \lfloor a_{2026}^2\rfloor.

A sequence is given with a_1=1 and a_{n+1}=\frac{a_n}{n}+\frac{n}{a_n}. Find \lfloor a_{2026}^2\rfloor.