A symmetric algorithm for golden ratio in hyper-Horadam numbers
type: Item
instance of: scholarly article
title: A symmetric algorithm for golden ratio in hyper-Horadam numbers
zbMATH Open document ID: 1423.11032
DOI: 10.1155/2016/4361582
author: Mustafa Bahşı
author: Süleyman Solak
published in: Chinese Journal of Mathematics
publication date: 2017-04-21T00:00:00Z
review text: Summary: We study some ratios related to hyper-Horadam numbers such as \(W_n^{\left(r\right)} / W_{n - 1}^{\left(r\right)}\) while \(n \to \infty\) by using a symmetric algorithm obtained by the recurrence relation \(a_n^k = a_n^{k - 1} + a_{n - 1}^k\), where \(W_n^{\left(r\right)}\) is the \(n\)th hyper-Horadam number. Also, we give some special cases of these ratios such as the golden ratio and silver ratio.
Mathematics Subject Classification ID: 11B39
zbMATH DE Number: 6707022
zbMATH Keywords: hyper-Horadam numbers
zbMATH Keywords: golden ratio
Wikidata QID: Q59123290
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/4361582
OpenAlex ID: W2494828482
cites work: Q5339381
cites work: Q4933512
cites work: A symmetric algorithm for hyperharmonic and Fibonacci numbers
cites work: Q5250850
description: scientific article; zbMATH DE number 6707022