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Identities from weighted Motzkin paths
Authors:William YC Chen  Sherry HF Yan  Laura LM Yang  
Institution:aCenter for Combinatorics, LPMC-TJKLC, Nankai University, Tianjin 300071, PR China;bDepartment of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, PR China
Abstract:Based on a weighted version of the bijection between Dyck paths and 2-Motzkin paths, we find combinatorial interpretations of two identities related to the Narayana polynomials and the Catalan numbers. These interpretations answer two questions posed recently by Coker.
Keywords:Narayana number  Catalan number  Motzkin path  Weighted Motzkin path  Multiple Dyck path  Bijection
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