Problem 58284. Easy Sequences 117: Fractional Part of Cube Roots
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
: ![](data:image/png;base64,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)
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.
Solution Stats
Solution Comments
Show commentsProblem Recent Solvers4
Suggested Problems
-
679 Solvers
-
4512 Solvers
-
Self-similarity 1 - Every other term
59 Solvers
-
How many unique Pythagorean triples?
143 Solvers
-
Easy Sequences 5: Project Euler Problem 1 - Again!
12 Solvers
More from this Author116
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!