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Fibinary numbers
Fibinary numbers look like binary numbers but instead of the digits representing the powers of 2 (1, 2, 4, 8, ...) they represent the Fibonacci numbers (1, 2, 3, 5, 8, ...). Thus the first few Fibinary numbers are 0, 1, 10, 100, 101, 1000, 1001, 1010, 10000, 10001, 10010. Note t...