Let us say an infinite word $w=w_1w_2\cdots$ over a finite alphabet $\{a_1,\ldots,a_r\}$ is good if there exists a positive integer $m$ such that none of the words $a_1^m,\ldots,a_r^m$ appear as factors of $w$. Equivalently, saying $w$ is good means that it does not contain arbitrarily long factors that use only one letter. Does this "good" property already have a different name in the literature?
2026-03-26 06:21:36.1774506096
Does This Property of Words Have a Name?
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