Problem 55345. Easy Sequences 68: Factorial Rectangles

• Created by Ramon Villamangca
• Appears in Easy Sequences Volume VIII

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I'll celebrate my comeback to Cody with this one easy problem...

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The rectangle below is special:

Its area is which equal to . We call such rectangle a factorial rectangle, which is an integer-sided rectangle with an area equal to a factorial number.

In this problem, we want to know how many are these factorial rectangles.

For a given integer n, we define the function as the number of factorial rectangles with area The factorial rectangles with area are as follows: , with rotations not allowed. Hence,

Write a function that will calculate , defined as follows:

For , we are given:

Solve

Solution Stats

63.64% Correct | 36.36% Incorrect

• 11 Solutions
• 6 Solvers

Last Solution submitted on Sep 12, 2023

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