# Inspired By Garrett Clarke

Algebra Level 5

$\large{{ a }_{ n+1 }={ a }_{ n }-{\left\lfloor \sqrt { { a }_{ n } } \right\rfloor}}^{2}$

Let there be a sequence for $$n \ge 1$$. For $$n \ge k$$, the value of $$a_{n}$$ will be $$0$$ for some positive integer $$k$$. If $$k=9$$ find $$a_{1}$$.

Inspiration

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