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.
Main Authors: | Feng Qi, Bai-Ni Guo |
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Format: | Article |
Language: | English |
Published: |
AIMS Press
2020-01-01
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Series: | AIMS Mathematics |
Subjects: | |
Online Access: | https://www.aimspress.com/article/10.3934/math.2020091/fulltext.html |
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