Colored Motzkin Paths of Higher Order

Isaac DeJager, Madeleine Naquin, Frank Seidl +1

Motzkin paths of order-$\ell$ are a generalization of Motzkin paths that use steps $U=(1,1)$, $L=(1,0)$, and $D_i=(1,-i)$ for every positive integer $i\le \ell$. We further gener…