Feng Qi and Bai-Ni Guo, Several explicit and recursive formulas for generalized Motzkin numbers. AIMS Mathematics. 2020, 5, doi:10.3934/math.2020091
Feng Qi and Bai-Ni Guo, Several explicit and recursive formulas for generalized Motzkin numbers. AIMS Mathematics. 2020, 5, doi:10.3934/math.2020091
Feng Qi and Bai-Ni Guo, Several explicit and recursive formulas for generalized Motzkin numbers. AIMS Mathematics. 2020, 5, doi:10.3934/math.2020091
Feng Qi and Bai-Ni Guo, Several explicit and recursive formulas for generalized Motzkin numbers. AIMS Mathematics. 2020, 5, doi:10.3934/math.2020091
Abstract
In the paper, the authors find two explicit formulas and recover a recursive formula for the 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.
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
