Generalized Small Schröder Numbers

[摘要] We study generalized small Schröder paths in the sense of arbitrary sizes of steps. A generalized small Schröder path is a generalized lattice path from $(0,0)$ to $(2n,0)$ with the step set of  $\{(k,k), (l,-l), (2r,0)\, |\, k,l,r \in {\bf P}\}$, where $

[学科分类] 离散数学和组合数学

[关键词] Small Schröder paths;Narayana polynomials;colored Dyck paths