<?xml version="1.0" encoding="UTF-8"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-10-19T01:09:10Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/13395" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/13395</identifier><datestamp>2026-10-18T20:56:45Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</setSpec><setSpec>com_ebyu_10000</setSpec><setSpec>col_ebyu_10001</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>A new approach to k-jacobsthal lucas sequences</dc:title><dc:creator>Akkuş, Hakan</dc:creator><dc:creator>Üregen, Rabia Nagehan</dc:creator><dc:creator>Özkan, Engin</dc:creator><dc:subject>Catalan Transform</dc:subject><dc:subject>Fc-Fibonacci sequence</dc:subject><dc:subject>Hankel Transform</dc:subject><dc:subject>K-Lucas sequence</dc:subject><dc:subject>K-Pell sequences</dc:subject><dc:description>In this study, Catalan transformation CSk,n of k--Jacobsthal-Lucas sequences Sk,n is defined. In addition, the transformation of CSkn 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 fc-Jacobsthal-Lucas numbers is found. © 2021, Sakarya University. All rights reserved.</dc:description><dc:publisher>Sakarya University</dc:publisher><dc:date>2021</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/13395</dc:identifier><dc:identifier>https://doi.org/10.16984/saufenbilder.842489</dc:identifier><dc:identifier>1301-4048</dc:identifier><dc:language>en</dc:language><dc:relation>Sakarya University Journal of Science</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/13395</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>