Several explicit and recursive formulas for generalized Motzkin numbers

Several explicit and recursive formulas for generalized Motzkin numbers

In the paper, the authors find two explicit formulas and recover a recursive formula for generalized Motzkin numbers. Consequently, the authors deduce two explicit formulas and a recursive formula for the Motzkin numbers, the Catalan numbers, and the restricted hexagonal numbers respectively.

Bibliographic Details
Main Authors: Feng Qi, Bai-Ni Guo
Format: Article
Language:English
Published: AIMS Press 2020-01-01
Series:AIMS Mathematics
Subjects:
explicit formula
recursive formula
generalized motzkin number
motzkin number
restricted hexagonal number
catalan number
generating function
Online Access:https://www.aimspress.com/article/10.3934/math.2020091/fulltext.html

Internet

https://www.aimspress.com/article/10.3934/math.2020091/fulltext.html

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