Two explicit formulas for the generalized Motzkin numbers
type: Item
instance of: scholarly article
title: Two explicit formulas for the generalized Motzkin numbers
zbMATH Open document ID: 1358.05018
author: Jiao-Lian Zhao
author: Feng Qi
published in: Journal of Inequalities and Applications
publication date: 2017-03-17T00:00:00Z
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05A19
Mathematics Subject Classification ID: 05A20
Mathematics Subject Classification ID: 11B37
Mathematics Subject Classification ID: 11B83
zbMATH DE Number: 6695879
zbMATH Keywords: explicit formula
zbMATH Keywords: Motzkin number
zbMATH Keywords: generalized Motzkin number
zbMATH Keywords: restricted hexagonal number
zbMATH Keywords: Catalan number
zbMATH Keywords: generating function
zbMATH Keywords: faà di bruno formula
zbMATH Keywords: Bell polynomial of the second kind
MaRDI profile type: Publication
full work available at URL: s13660-017-1313-3
OpenAlex ID: W2588949030
Wikidata QID: Q42131028
cites work: Motzkin numbers
cites work: Q5246235
cites work: Q5505175
cites work: Catalan Numbers
cites work: Three identities of the Catalan-Qi numbers
cites work: Logarithmically complete monotonicity of a function related to the Catalan-Qi function
cites work: Schur-convexity of the Catalan-Qi function related to the Catalan numbers
cites work: Motzkin numbers of higher rank: Generating function and explicit expression
cites work: Congruences involving generalized central trinomial coefficients
cites work: The enumeration of tree-like polyhexes
cites work: EXACT p-ADIC ORDERS FOR DIFFERENCES OF MOTZKIN NUMBERS
cites work: On divisibility properties of some differences of Motzkin numbers
cites work: Q4769056
cites work: Explicit expressions for a family of the Bell polynomials and applications
DOI: 10.1186/S13660-017-1313-3
description: scientific article; zbMATH DE number 6695879