Patterns in rectangulations. Part I: $\top$-like patterns, inversion sequence classes $I(010,101,120,201)$ and $I(011,201)$, and rushed Dyck paths

Andrei Asinowski, Michaela A. Polley

We initiate a systematic study of pattern avoidance in rectangulations. We give a formal definition of such patterns and investigate rectangulations that avoid $\top$-like patterns…