Preprint Open Access

Palindromic-Type Pandigital Patterns in Pythagorean Triples

Inder J. Taneja


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  <identifier identifierType="DOI">10.5281/zenodo.2544551</identifier>
  <creators>
    <creator>
      <creatorName>Inder J. Taneja</creatorName>
      <affiliation>Formarly,  Professor of Mathematics, Federal University of Santa Catarina, Florianópolis, SC, Brazil</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Palindromic-Type  Pandigital Patterns in Pythagorean Triples</title>
  </titles>
  <publisher>Zenodo</publisher>
  <publicationYear>2019</publicationYear>
  <subjects>
    <subject>Pythagorean triples, Pandigital patterns, Palindromic-type patterns, Pandigital patterns</subject>
  </subjects>
  <dates>
    <date dateType="Issued">2019-01-20</date>
  </dates>
  <language>en</language>
  <resourceType resourceTypeGeneral="Preprint"/>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://zenodo.org/record/2544551</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.5281/zenodo.2544550</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="https://creativecommons.org/licenses/by/4.0/legalcode">Creative Commons Attribution 4.0 International</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;This &amp;nbsp;paper brings examples of &lt;strong&gt;Palindromic-Type Pandigital Patterns in Pythagorean Triples&lt;/strong&gt;. These are constructed in a padronized way.&amp;nbsp;This means that in all the &lt;strong&gt;patterns&lt;/strong&gt; we have &lt;strong&gt;pandigital palindromic-type expressions&lt;/strong&gt;. The only change appears is in the middle terms and the last numbers of the first and third values. The results are obtained in such a way that we have patterns as: 9, 99, 999, 9999, 99999, etc. The construction is based on a procedure well known in the literature. There is very much uniformity among the results. In this work we have two different types of &lt;strong&gt;palindromic-type expressions&lt;/strong&gt;, such &amp;nbsp;as blocks of &lt;strong&gt;121&lt;/strong&gt;, &lt;strong&gt;12321&lt;/strong&gt;,&amp;nbsp; &lt;strong&gt;1234321&lt;/strong&gt;, ..., and blocks of &lt;strong&gt;10201&lt;/strong&gt;, &lt;strong&gt;102030201&lt;/strong&gt;, &lt;strong&gt;1020304030201&lt;/strong&gt;, .... This work is a combinations of author&amp;#39;s previous two works.&lt;/p&gt;</description>
  </descriptions>
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