Problem 53930. Easy Sequences 65: Fractional Part of Square Roots

Ramon Villamangca

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The fractional part function of a positive real number r, denoted as , is defined as: , where , is the 'floor' of r. Thus, ,  and .
Given a  positive integer n, create the function , that evaluates the following summation:
         
For example for :
      
Please present the function output rounded-off to nearest integer. Therefore, for , the function should return 3.
HINT:  There are efficient algorithms to calculate fractional part of square root.

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Last Solution submitted on May 24, 2026

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