Tilings of a honeycomb strip and higher order Fibonacci numbers
In this paper we explore two types of tilings of a honeycomb 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 kn...
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| Veröffentlicht in: | Contributions to discrete mathematics 2024-01, Vol.19 (2), p.56-81 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper we explore two types of tilings of a honeycomb 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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| ISSN: | 1715-0868 1715-0868 |
| DOI: | 10.55016/ojs/cdm.v19i2.75062 |