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
.
---------------
NOTE: This is a follow-up problem to: Problem 53930. Easy Sequences 65: Fractional Part of Square Roots.
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