Problem 53130. Easy Sequences 55: "Ugly" Rectangles?
A positive integer n is called a regular number, if and only if there exist a non-negative integer k, such that . For some reason, such a number is also refered to as an ugly number. Below are the first few regular numbers:
We say that an integer-sided rectangle is a "regular" rectangle if its area is a regular number. In the figure below, the red-colored rectanges are regular, while the blue ones are not.
All regular rectangles whose areas are less than equal to are listed below:
And their total area is:
For a given area limit a, find the total area of all regular rectangles with areas less than equal a.
Solution Stats
Problem Comments
Solution Comments
Show commentsProblem Recent Solvers4
Suggested Problems
-
214 Solvers
-
135 Solvers
-
Find out sum and carry of Binary adder
1520 Solvers
-
1704 Solvers
-
Easy Sequences 56: Counting "Ugly" Numbers
6 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!