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
-
284 Solvers
-
77 Solvers
-
What is the distance from point P(x,y) to the line Ax + By + C = 0?
357 Solvers
-
304 Solvers
-
Natural numbers in string form
1142 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!