Two explicit formulas for the generalized Motzkin numbers

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.

Detalles Bibliográficos
Autores principales: Zhao, Jiao-Lian, Qi, Feng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5310552/
https://www.ncbi.nlm.nih.gov/pubmed/28255208
http://dx.doi.org/10.1186/s13660-017-1313-3
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author Zhao, Jiao-Lian
Qi, Feng
author_facet Zhao, Jiao-Lian
Qi, Feng
author_sort Zhao, Jiao-Lian
collection PubMed
description 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.
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spelling pubmed-53105522017-02-28 Two explicit formulas for the generalized Motzkin numbers Zhao, Jiao-Lian Qi, Feng J Inequal Appl Research 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. Springer International Publishing 2017-02-15 2017 /pmc/articles/PMC5310552/ /pubmed/28255208 http://dx.doi.org/10.1186/s13660-017-1313-3 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Zhao, Jiao-Lian
Qi, Feng
Two explicit formulas for the generalized Motzkin numbers
title Two explicit formulas for the generalized Motzkin numbers
title_full Two explicit formulas for the generalized Motzkin numbers
title_fullStr Two explicit formulas for the generalized Motzkin numbers
title_full_unstemmed Two explicit formulas for the generalized Motzkin numbers
title_short Two explicit formulas for the generalized Motzkin numbers
title_sort two explicit formulas for the generalized motzkin numbers
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5310552/
https://www.ncbi.nlm.nih.gov/pubmed/28255208
http://dx.doi.org/10.1186/s13660-017-1313-3
work_keys_str_mv AT zhaojiaolian twoexplicitformulasforthegeneralizedmotzkinnumbers
AT qifeng twoexplicitformulasforthegeneralizedmotzkinnumbers

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