From the Fibonacci to Pell numbers and beyond via Dyck paths

Author:

Barcucci Elena1,Bernini Antonio1,Pinzani Renzo1

Affiliation:

1. Dipartimento di Matematica e Informatica “U. Dini” , Università degli Studi di Firenze , Viale G.B. Morgagni 65 , Firenze , Italy

Abstract

Abstract In From Fibonacci to Catalan permutations, Barcucci et al., 2006, a journey by pattern avoiding permutations from the Fibonacci to Catalan sequences is illustrated. In this paper we make a similar journey, but on Dyck paths.

Publisher

Walter de Gruyter GmbH

Reference8 articles.

1. [1] A. Bacher, Generalized Dyck paths of bounded height, arXiv:1303.2724.

2. [2] E. Barcucci, A. Bernini and R. Pinzani, Strings from linear recurrences: a Gray code, in: Lecroq, T. and Puzynina, S. (Eds.), Combinatorics on Words, 13th International Conference, WORDS 2021, Lecture Notes in Comput. Sci., 12847 (2021) 40–49.

3. [3] E. Barcucci, A. Bernini and M. Poneti, From Fibonacci to Catalan permutations, Pure Math. Appl. (PU.M.A), 17 (2006) 1–17.

4. [4] M. Bousquet-Mélou, Discrete excursions, Sém. Lothar. Combin., 57 (2008) B57d.10.1016/j.endm.2008.06.016

5. [5] J. J. Bravo, J. L. Herrera and J. L. Ramírez, Combinatorial interpretation of generalized Pell numbers, J. Integer Seq. 23 (2020) 20.2.1.

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Dyck Paths Enumerated by the Q-bonacci Numbers;Electronic Proceedings in Theoretical Computer Science;2024-06-24

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3