An elementary technique is used for the enumeration of Dyck paths according to various parameters. For several of the considered parameters the generating function is expressed in terms of the Narayana function. Many enumeration results are obtained, some of which involve the Fine numbers.
机构:
Univ Banja Luka, Dept Math & Informat, Banja Luka 78000, Republic Of Srp, Bosnia & HercegUniv Banja Luka, Dept Math & Informat, Banja Luka 78000, Republic Of Srp, Bosnia & Herceg