#### Vol. 12, No. 4, 2019

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Descents and des-Wilf equivalence of permutations avoiding certain nonclassical patterns

### Caden Bielawa, Robert Davis, Daniel Greeson and Qinhan Zhou

Vol. 12 (2019), No. 4, 549–563
DOI: 10.2140/involve.2019.12.549
##### Abstract

A frequent topic in the study of pattern avoidance is identifying when two sets of patterns $\Pi ,{\Pi }^{\prime }$ are Wilf equivalent, that is, when $|{Av}_{n}\left(\Pi \right)|=|{Av}_{n}\left({\Pi }^{\prime }\right)|$ for all $n$. In recent work of Dokos et al. the notion of Wilf equivalence was refined to reflect when avoidance of classical patterns preserves certain statistics. We continue their work by examining des-Wilf equivalence when avoiding certain nonclassical patterns.

##### Keywords
mesh patterns, pattern avoidance, permutation statistics
Primary: 05A05