Fill a rectangle with 1x1 and 2x2 tiles
A 3x2 rectangle can be filled with 1x1 and 2x2 tiles in three ways:
The colors merely distinguish the sizes of the tiles. A 3...
Classify product/digit-sum sequences
Cody Problem 53120 involved a sequence in which a term is computed by multiplying the previous two terms and adding the digits o...
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Compute the Sequence of the Day
A sequence starts with 1 and 2, and each subsequent term is the sum of the digits of the product of the previous two terms. As a...
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List the dopey numbers
If vile numbers have binary representations that end with an even number of zeros (even vile), then numbers with binary represe...
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List the vile numbers
Evil numbers, the subject of Cody Problem 2733 have an even number of ones in their binary representations, whereas odious numbe...
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List modest numbers up to n
After determining the nude numbers, or the numbers that openly display some of their divisors as their digits, one would think t...
Find the nth nude number
The number 672 is a nude number because it openly displays three of its divisors: 6, 7, and 2. In other words, a nude number is ...
Identify Ruth-Aaron numbers
After Hank Aaron hit his 715th home run and passed Babe Ruth’s total of 714, Carl Pomerance noticed that the union of the prime ...