Recurring Styles 13 - Game of Inequalities!

Algebra Level 5

\[\Large{ a_{n+1} = \dfrac{a_n}{n} + \dfrac{n}{a_n} \quad, \quad a_1 = 1}\]

Let the sequence \( \left< a_n \right> \) be defined as above for all positive integers \(n\). Evaluate \(\large{\left \lfloor a_{2015} \right \rfloor }\)

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