More Kolakoski Sequences

Details More Kolakoski Sequences More Kolakoski Sequences

2010-09-21

arxiv.org/abs/1009.4061v1

Mathematics

Combinatorics

17 pages, 3 tables, 1 figure

Scientific paper

Our goal in this article is to review the known properties of the mysterious Kolakoski sequence and at the same time look at generalizations of it over arbitrary two letter alphabets. Our primary focus will here be the case where one of the letters is odd while the other is even, since in the other cases the sequences in question can be rewritten as (well-known) primitive substitution sequences. We will look at word and letter frequencies, squares, palindromes and complexity.

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