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Direct definition of a ternary infinite square-free sequence

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 Added by Tetsuo Kurosaki
 Publication date 2007
and research's language is English




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We propose a new ternary infinite (even full-infinite) square-free sequence. The sequence is defined both by an iterative method and by a direct definition. Both definitions are analogous to those of the Thue-Morse sequence. The direct definition is given by a deterministic finite automaton with output. In short, the sequence is automatic.



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