KöMaL 2015 C1325

Let $a_n$ denote the closest integer to $\sqrt n$ . Determine the sum $\frac 1{a_1}+ \frac 1{a_2}+ \frac 1{a_3}+\ldots + \frac 1{a_{484}}$ .

Official text KöMaL. Quoted with source.

Solutions

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