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Identities from weighted Motzkin paths |
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| Authors: | William Y.C. Chen Sherry H.F. Yan Laura L.M. Yang |
| Affiliation: | 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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