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A138719
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Concatenation of k digits 1, k digits 0 and k digits 1, where k is the n-th positive Fibonacci number.
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1
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101, 101, 110011, 111000111, 111110000011111, 111111110000000011111111, 111111111111100000000000001111111111111, 111111111111111111111000000000000000000000111111111111111111111
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