On Doubled and Quadrupled Fibonacci Type Sequences-Reference-Cited by-同舟云学术

On Doubled and Quadrupled Fibonacci Type Sequences

Published:2023-11-22 Issue:0 Volume:0 Page:
ISSN:2391-4238
Container-title:Annales Mathematicae Silesianae
language:en
Short-container-title:

Author:

Yilmaz Nur Şeyma¹,Włoch Andrzej²^ORCID,Özkan Engin³,Strzałka Dominik⁴

Affiliation:

1. 1 Graduate School of Natural and Applied Sciences , Erzincan Binali Yıldırım University , Erzincan Turkey

2. 2 Faculty of Mathematics and Applied Physics , Rzeszow University of Technology , Rzeszów Poland

3. 3 Department of Mathematics , Erzincan Binali Yıldırım University, Faculty of Arts and Sciences , Erzincan Turkey

4. 4 Faculty of Electrical and Computer Engineering , Rzeszow University of Technology , Rzeszów Poland

Abstract

Abstract In this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled Narayana’s sequence. We give a binomial direct formula for these sequences using graph methods, and also we derive a number of identities. Moreover, we study matrix generators of these sequences and determine connections with the Pascal’s triangle.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/amsil-2023-0020

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