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Title:Tilings of a honeycomb strip and higher order Fibonacci numbers
Authors:ID Došlić, Tomislav (Author)
ID Podrug, Luka (Author)
Files:URL https://cdm.ucalgary.ca/article/view/75062/57387
 
.pdf CDM+#75062+-+Galley+Proof.pdf (417,62 KB)
MD5: D1B175CDACAF7216B0F8DF456D88A3E7
 
Language:English
Work type:Unknown
Typology:1.01 - Original Scientific Article
Organization:FIŠ - Faculty of Information Studies in Novo mesto
Abstract:In this paper, we explore two types of tilings of a oneycomb strip and derive some closed-form formulas for the number of tilings. Furthermore, we obtain some new identities involving tribonacci numbers, Padovan numbers and Narayana’s cow sequence and provide combinatorial proofs for several known identities about those numbers.
Keywords:tilings, hexagonal lattice, Fibonacci numbers, tribonacci numbers, combinatorics
Publication status:Published
Publication version:Version of Record
Submitted for review:22.03.2022
Publication date:01.01.2024
Year of publishing:2024
Number of pages:str. 56-81
Numbering:Vol. 19, no. 2
PID:20.500.12556/ReVIS-13822 New window
COBISS.SI-ID:278322691 New window
UDC:51
ISSN on article:1715-0868
DOI:10.55016/ojs/cdm.v19i2.75062 New window
Note:Nasl. z nasl. zaslona; Opis vira z dne 15. 5. 2026;
Publication date in ReVIS:15.05.2026
Views:29
Downloads:0
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Record is a part of a journal

Title:Contributions to discrete mathematics
Publisher:Faculty of Science, University of Calgary
ISSN:1715-0868
COBISS.SI-ID:524449817 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J1-3002
Name:Prirejanja in barvanja povezav v kubičnih grafih

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0383
Name:Kompleksna omrežja

Licences

License:CC BY-ND 4.0, Creative Commons Attribution-NoDerivatives 4.0 International
Link:http://creativecommons.org/licenses/by-nd/4.0/
Description:Under the NoDerivatives Creative Commons license one can take a work released under this license and re-distribute it, but it cannot be shared with others in adapted form, and credit must be provided to the author.

Secondary language

Language:Slovenian
Keywords:tlakovanja, heksagonalna mreža, Fibonaccijeva števila, tribonaccijeva števila, kombinatorika


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