Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors

Yidong Sun, Jinyi Wang, Xinyu Wang

An $r$-colored Dyck path is a Dyck path with all $\mathbf{d}$-steps having one of $r$ colors in $[r]=\{1,2,\dots ,r\}$. In this paper, we consider several statistics on the set $…