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A071672
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The binary encoding of parenthesizations given in a "global arithmetic order", using A001477 as the packing bijection N X N -> N.
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4
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10, 1100, 1010, 111000, 110010, 101100, 110100, 11100010, 11001100, 101010, 11110000, 11010010, 1110001100, 11001010, 10111000, 11100100, 1111000010, 1101001100, 1110001010, 1100111000, 10110010, 11011000, 1110010010
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