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- Feb 14, 2012
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Let $a_n$ be a sequence such that $a_1=1$ and $a_{n+1}=\left\lfloor a_n+\sqrt{a_n}+\dfrac{1}{2} \right \rfloor$.
What are the last four digits of $a_{2012}$?
What are the last four digits of $a_{2012}$?