<?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>2026-10-19T01:08:52Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/15336" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/15336</identifier><datestamp>2026-10-18T20:36:47Z</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>Truncated Lucas sequence and its period</dc:title><dc:creator>Özkan, Engin</dc:creator><dc:subject>Fibonacci sequence</dc:subject><dc:subject>Multiplicative function</dc:subject><dc:subject>Period</dc:subject><dc:subject>Truncated Fibonacci sequence</dc:subject><dc:subject>Truncated Lucas sequence</dc:subject><dc:subject>Computational methods</dc:subject><dc:subject>Fibonacci sequences</dc:subject><dc:subject>Lucas sequence</dc:subject><dc:subject>Multiplicative functions</dc:subject><dc:subject>Mathematical techniques</dc:subject><dc:description>We prove some theorems concerning the truncated Lucas sequences. We also state some conjectures concerning the period (mod m) of truncated Lucas sequences, where the integer m is at least 2. In addition, we present some computer-generated results that tend to support these conjectures.</dc:description><dc:publisher>ELSEVIER SCIENCE INC</dc:publisher><dc:date>2014</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/15336</dc:identifier><dc:identifier>https://doi.org/10.1016/j.amc.2014.01.014</dc:identifier><dc:identifier>0096-3003</dc:identifier><dc:language>en</dc:language><dc:relation>Applied Mathematics and Computation</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/15336</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>