Problem 58249. Easy Sequences 114: Counting Unique Numbers
A Unique Number is defined as a positive integer with no repeated digits. This means that and are unique numbers, but and are not.
Given the number B, write a program the calculates the number of unique numbers in base-B.
⋅ In base-2, there are only 2 unique numbers: .
⋅ In base-3, there are 10 unique numbers: .
⋅ In base-4, there are 48 unique numbers:
⋅ And in base-10, there are 8,877,690 unique numbers.
The output could be greater than flintmax, therefore please present your output as character strings.
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