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A008560
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a(1) = 2; to get a(n), n >= 2, convert a(n-1) from base 3 to base 2.
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1
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2, 10, 11, 100, 1001, 11100, 1110101, 10000100111, 1110011110101001, 1001111011001100001111110, 100010101100001010000100000101000100101, 1001100000001111111111000111111011010101000111001110101000111
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