Direct definition of a ternary infinite square-free sequence
Discrete Mathematics
2007-12-04 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0712.0139,
title = {Direct definition of a ternary infinite square-free sequence},
author = {Tetsuo Kurosaki},
journal= {arXiv preprint arXiv:0712.0139},
year = {2007}
}
Comments
9 pages, 1 figures, to appear in Information Processing Letters