<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-information-and-optimization-sciences</journal-id>
      <journal-title-group>
        <journal-title>Journal of Information and Optimization Sciences</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-0103</issn>
      <issn publication-format="print">0252-2667</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JIOS-1314</article-id>
      <title-group>
        <article-title>On Leonardo Octonions</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Özimamoğlu</surname>
            <given-names>Hayrullah</given-names>
          </name>
          <aff>Departments of Mathematics, Faculty of Arts and Sciences, Nevsehir Hacı Bektas Veli University, Nevsehir, 50300, Turkey</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Catarino</surname>
            <given-names>Paula Maria Machado Cruz</given-names>
          </name>
          <aff>Department of Mathematics, Quinta de Prados, University of Trás-os-Montes e Alto Douro, Vila Real, 5001-801, Portugal</aff>
        </contrib>
      </contrib-group>
      <volume>46</volume>
      <issue>7</issue>
      <fpage>2047</fpage>
      <lpage>2056</lpage>
      <pub-date date-type="pub">
        <day>04</day>
        <month>09</month>
        <year>2025</year>
      </pub-date>
      <abstract>
        <p>In this article, we give a new family of Octonions. We describe the Leonardo Octonions. Then, we derive certain algebraic characteristics for Leonardo Octonions including the generating function, Binet’s formula, exponential generating function, some summation formulas, Catalan’s, Cassini’s and d’Ocagne’s identities.</p>
      </abstract>
      <kwd-group>
        <kwd>Octonions</kwd>
        <kwd>Fibonacci Octonions</kwd>
        <kwd>Lucas Octonions</kwd>
        <kwd>Leonardo numbers</kwd>
        <kwd>Leonardo Octonions</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
