Problem 58284. Easy Sequences 117: Fractional Part of Cube Roots

Created by Ramon Villamangca
Appears in Easy Sequences Volume VIII

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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 3 decimal places Therefore, for , the function should return .
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NOTE: This is a follow-up problem to: Problem 53930. Easy Sequences 65: Fractional Part of Square Roots.

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Problem 58284. Easy Sequences 117: Fractional Part of Cube Roots

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Problem 58284. Easy Sequences 117: Fractional Part of Cube Roots

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