Journal of Lanzhou University of Technology ›› 2025, Vol. 51 ›› Issue (3): 150-155.

• Scientific • Previous Articles     Next Articles

Enumerative problem on the 2-G-Motzkin paths

YANG Sheng-liang, ZHANG Yu-yuan   

  1. School of Science, Lanzhou University of Technology, Lanzhou 730050, China
  • Received:2023-04-23 Online:2025-06-28 Published:2025-06-30

Abstract: The concept of the 2-G-Motzkin path is introduced. By using the symbolic method, the Lagrange inversion formula, and the Riordan array, some enumerative problems on the 2-G-Motzkin paths are studied and the corresponding generating functions and computing formulas are given.

Key words: 2-G-Motzkin path, symbolic method, Lagrange inversion formula, Riordan array, generating function

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