On $$F_3(k,n)$$-numbers of the Fibonacci type-Reference-Cited by-同舟云学术

On $$F_3(k,n)$$-numbers of the Fibonacci type

Published:2021-10-07 Issue:3 Volume:27 Page:
ISSN:1405-213X
Container-title:Boletín de la Sociedad Matemática Mexicana
language:en
Short-container-title:Bol. Soc. Mat. Mex.

Author:

Özkan Engin,Yilmaz Nur Şeyma,Włoch Andrzej^ORCID

Abstract

AbstractIn this paper, we study a generalization of Narayana’s numbers and Padovan’s numbers. This generalization also includes a sequence whose elements are Fibonacci numbers repeated three times. We give combinatorial interpretations and a graph interpretation of these numbers. In addition, we examine matrix generators and determine connections with Pascal’s triangle.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s40590-021-00381-9.pdf

Reference16 articles.

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5. Kiliç, E., Tasci, D.: On the generalized Fibonacci and Pell sequences by Hessenberg matrices. Ars Combinatoria 94, 161–174 (2010)

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