A New Approach to k-Jacobsthal Lucas Sequences

Year 2021, Volume: 25 Issue: 4, 969 - 973, 30.08.2021

Hakan Akkuş , Rabia Nagehan Üregen , Engin Özkan

https://doi.org/10.16984/saufenbilder.842489

Cited By: 4

Abstract

In this study, 〖CS〗_(k,n) of S_(k,n) Catalan transformation of 𝑘−Jacobsthal-Lucas sequences is defined. S_(k,n) Catalan transformation of 𝑘−Jacobsthal-Lucas S_(k,n) sequences is obtained.In addition the transformation of CS_(k,n) is written as the product of the Catalan matrix C, which is the lower triangular matrix, and the S_k matrix of type 𝑛 𝑥 1, and the Hankel transformations of some k-Jacobsthal-Lucas numbers has been found.

Keywords

k-Pell sequences, k-Lucas sequence, k-Fibonacci sequence, Catalan Transform, Hankel Transform

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