Direct definition of a ternary infinite square-free sequence

Details Direct definition of a ternary infinite square-free sequence Direct definition of a ternary infinite square-free sequence

2007-12-02

arxiv.org/abs/0712.0139v1

Computer Science

Discrete Mathematics

9 pages, 1 figures, to appear in Information Processing Letters

Scientific paper

10.1016/j.ipl.2007.11.012

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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