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arXiv · 1811.08314

Counting Words Avoiding a Short Increasing Pattern and the Pattern 1k...2

Yonah Biers-Ariel
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Abstract

We find finite-state recurrences to enumerate the words on the alphabet $[n]^r$ which avoid the patterns 123 and $1k(k-1)\dots2$, and, separately, the words which avoid the patterns 1234 and $1k(k-1)\dots2$.

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Yonah Biers-Ariel. 2019-01-27. Counting Words Avoiding a Short Increasing Pattern and the Pattern 1k...2. https://arxiv.org/abs/1811.08314

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