# Recurring Dreams!

Algebra Level 5

$\large{{ y }_{ n+1 }=10\left\lfloor \sqrt { 4{ y }_{ n }-3 } \right\rfloor }$

If there be a sequence defined by above rule for $$n \ge 1$$. Find $$y_{2015}$$ if $$y_{1}=9000$$

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