Tilings of a honeycomb strip and higher order Fibonacci numbers

Authors

  • Tomislav Došlić University of Zagreb, Faculty of Civil Engineering
  • Luka Podrug Universiti of Zagreb, Faculty of Civil Engineering

DOI:

https://doi.org/10.55016/ojs/cdm.v19i2.75062

Abstract

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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Published

2024-04-30

Issue

Section

Articles