Two explicit formulas for the generalized Motzkin numbers

Two explicit formulas for the generalized Motzkin numbers

Abstract In the paper, by the Faà di Bruno formula, the authors establish two explicit formulas for the Motzkin numbers, the generalized Motzkin numbers, and the restricted hexagonal numbers.

Bibliographic Details
Main Authors: Jiao-Lian Zhao, Feng Qi
Format: Article
Language:English
Published: SpringerOpen 2017-02-01
Series:Journal of Inequalities and Applications
Subjects:
explicit formula
Motzkin number
generalized Motzkin number
restricted hexagonal number
Catalan number
generating function
Online Access:http://link.springer.com/article/10.1186/s13660-017-1313-3

Internet

http://link.springer.com/article/10.1186/s13660-017-1313-3

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