<?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>2026-10-23T18:47:08Z</responseDate><request verb="GetRecord" identifier="oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/12059" metadataPrefix="oai_dc">https://gumushane-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/12059</identifier><datestamp>2026-10-22T10:19:38Z</datestamp><setSpec>openaire</setSpec><setSpec>com_gumushane_10000</setSpec><setSpec>col_gumushane_10001</setSpec><setSpec>com_gumushane_10007</setSpec><setSpec>col_gumushane_10171</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>Hessenberg matrices and the Pell-Lucas and Jacobsthal numbers</dc:title><dc:creator>Aktaş, Ibrahim</dc:creator><dc:creator>Köse, Hasan</dc:creator><dc:subject>Contraction</dc:subject><dc:subject>Hessenberg matrix</dc:subject><dc:subject>Jacobsthal numbers</dc:subject><dc:subject>Pell-Lucas numbers</dc:subject><dc:subject>Permanent</dc:subject><dc:description>There are many relationships between the number theory and matrix theory. In this work, we defined two upper Hessenberg Matrices and then we showed that the permanents of these Hessenberg matrices are Pell-Lucas and Jacobsthal numbers.</dc:description><dc:publisher>Academic Press</dc:publisher><dc:date>2015</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/gumushane/12059</dc:identifier><dc:identifier>https://doi.org/10.12732/ijpam.v101i3.11</dc:identifier><dc:identifier>1311-8080</dc:identifier><dc:language>en</dc:language><dc:relation>International Journal of Pure and Applied Mathematics</dc:relation><dc:rights>info:eu-repo/semantics/closedAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://gumushane-rdlopen.rawdatalibrary.net/tr/items/gumushane/12059</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>