| Title: | Tilings of a honeycomb strip and higher order Fibonacci numbers |
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| Authors: | ID Došlić, Tomislav (Author) ID Podrug, Luka (Author) |
| Files: | https://cdm.ucalgary.ca/article/view/75062/57387
CDM+#75062+-+Galley+Proof.pdf (417,62 KB) MD5: D1B175CDACAF7216B0F8DF456D88A3E7
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| Language: | English |
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| Work type: | Unknown |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FIŠ - Faculty of Information Studies in Novo mesto
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| 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. |
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| Keywords: | tilings, hexagonal lattice, Fibonacci numbers, tribonacci numbers, combinatorics |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 22.03.2022 |
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| Publication date: | 01.01.2024 |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 56-81 |
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| Numbering: | Vol. 19, no. 2 |
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| PID: | 20.500.12556/ReVIS-13822  |
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| COBISS.SI-ID: | 278322691  |
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| UDC: | 51 |
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| ISSN on article: | 1715-0868 |
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| DOI: | 10.55016/ojs/cdm.v19i2.75062  |
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| Note: | Nasl. z nasl. zaslona;
Opis vira z dne 15. 5. 2026;
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| Publication date in ReVIS: | 15.05.2026 |
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| Views: | 29 |
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| Downloads: | 0 |
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