A New Approach to k-Jacobsthal Lucas Sequences

Özet

In this study, Catalan transformation 𝐶𝑆𝑘,𝑛 of 𝑘−Jacobsthal-Lucas sequences 𝑆𝑘,𝑛 is defined. In addition, the transformation of C𝑆𝑘,𝑛 is written as the product of the Catalan matrix C which is the lower triangular matrix and the 𝑆𝑘 matrix of type 𝑛 𝑥 1, and the Hankel transformations of some 𝑘−Jacobsthal-Lucas numbers is found.