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MathNet 2014 Question 64

Math Olympiad Vault · MathNet 2014

Question 64

How many positive integers are powers of 4 and are written in base 3 using only the digits 0 and 1, with 0 used any number of times (possibly none) and 1 at most twice?
(A) 4
(B) 2
(C) 1
(D) 0
(E) Infinitely many.