Tilings of a Honeycomb Strip and Higher Order Fibonacci Numbers

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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Došlić, Tomislav, Podrug, Luka
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Combinatorics
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
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.
DOI:10.48550/arxiv.2203.11761