Problem 53880. List the vile numbers

Created by ChrisR
Appears in Hidden Pattern - Matrix Version

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Evil numbers, the subject of Cody Problem 2733 have an even number of ones in their binary representations, whereas odious numbers, the subject of Cody Problem 2734, have an odd number of ones in their binary representations. For example, the numbers 3, 6, 10, and 12 are evil, and the numbers 2, 4, 7, and 14 are odious.
Vile numbers have binary representations that end with an even number of zeros (including zero zeros). Therefore, the numbers 3 and 12 are evil and vile, and the numbers 4 and 7 are odious and vile. The numbers 6 and 10 are evil but not vile, and the numbers 2 and 14 are odious but not vile. Got it?
Write a function to determine the nth vile number. 

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Last Solution submitted on Apr 18, 2023

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Rafael S.T. Vieira on 26 Nov 2022

A more accurate description of the problem would be binary numbers that start with an even number of zeros but not necessarily those that have or end with an even number of zeros.

GeeTwo on 30 Dec 2022

If the problem were written in a language where numbers are read big-endian (e.g. Arabic), that would certainly be true.

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