J4 ›› 2012, Vol. 47 ›› Issue (6): 90-94.

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An identity in terms of 2-Motzkin paths and its applications

SUN Yi1, SU Gui-fu2   

  1. 1. School of Mathematics and System Science, Xinjiang University, Urumqi 830046， Xinjiang， China;
    2. School of Mathematics, Beijing Institute of Technology, Beijing  100081, China
  • Received:2010-06-18 Online:2012-06-20 Published:2012-06-26

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Abstract:

One of the identities of Coker is generalized, which is proved by an algebraic method. Some useful identities related to Narayana number and Catalan number are also presented.

Key words: 2-Motzkin path; Dyck path; Narayana number; Catalan number; bijection

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