{"id":17774,"date":"2026-01-31T16:42:42","date_gmt":"2026-01-31T19:42:42","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=17774"},"modified":"2026-01-31T16:42:45","modified_gmt":"2026-01-31T19:42:45","slug":"31st-days-of-the-year-patterns-with-31","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=17774","title":{"rendered":"31st Days of the Year: Patterns with 31"},"content":{"rendered":"
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References <\/h3>\n\n\n\n

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1. Pattern in Pythagorean Triples<\/h3>\n\n\n\n

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    \n
  1. Inder J. Taneja<\/strong>, Patterns in Pythagorean Triples Using Single and Double Variable Procedures<\/em>, Zenodo<\/strong>, January 19, 2019, pp. 1-134, http:\/\/doi.org\/10.5281\/zenodo.2544519<\/a>.<\/li>\n\n\n\n
  2. Inder J. Taneja<\/strong>, Multiple-Type Patterns and Pythagorean Triples<\/em>, Zenodo<\/strong>, January 19, 2019, pp.1-53, http:\/\/doi.org\/10.5281\/zenodo.2544527<\/a>.<\/li>\n\n\n\n
  3. Inder J. Taneja<\/strong>, Palindromic-Type Pandigital Patterns in Pythagorean Triples<\/em>, Zenodo<\/strong>, January 20, 2019, pp. 1-160, http:\/\/doi.org\/10.5281\/zenodo.2544551<\/a>.<\/li>\n\n\n\n
  4. Inder J. Taneja<\/strong>, Generating Pythagorean Triples, Patterns, and Magic Squares<\/em>, Zenodo<\/strong>, January 20, 2019, pp. 1-121, http:\/\/doi.org\/10.5281\/zenodo.2544555<\/a>.<\/li>\n\n\n\n
  5. Inder J. Taneja<\/strong>, Patterns in Pythagorean Triples, Zenodo<\/strong>, March 13, 1-136, 2021, http:\/\/doi.org\/10.5281\/zenodo.4603197<\/a>.<\/li>\n\n\n\n
  6. Inder J. Taneja<\/strong>, Pandigital-Type and Pythagorean Triples Patterns<\/em>, Zenodo<\/strong>, March 17, 1-750, http:\/\/doi.org\/10.5281\/zenodo.4611511<\/a>.<\/li>\n<\/ol>\n\n\n\n

    2. Semi-Selfie Representations<\/h3>\n\n\n\n

    <\/p>\n\n\n\n

      \n
    1. Inder J. Taneja<\/strong>, Patterns in Selfie and Semi-Selfie Numbers<\/em>, Zenodo<\/strong>, February 6, 2019, pp. 1-51, http:\/\/doi.org\/10.5281\/zenodo.2563202<\/a>.<\/li>\n\n\n\n
    2. Inder J. Taneja<\/strong>, Semi-Selfie Numbers<\/em>, Zenodo<\/strong>, February 12, 2019, pp. 1-394, http:\/\/doi.org\/10.5281\/zenodo.2562390<\/a>.<\/li>\n\n\n\n
    3. Inder J. Taneja<\/strong>, Power-Type Semi-Selfie Numbers and Patterns<\/em>, Zenodo<\/strong>, July 16, 2019, pp. 1-130, http:\/\/doi.org\/10.5281\/zenodo.3338366<\/a>.<\/li>\n<\/ol>\n\n\n\n

      <\/p>\n\n\n\n

      3 Selfie-Fractions and Patterns<\/h3>\n\n\n\n
        \n
      1. Inder J. Taneja<\/strong>, Selfie Fractions: Addable, Subtractable, Dottable and Potentiable<\/em>, Zenodo<\/strong>, March 24, 2019, pp. 1-260, http:\/\/doi.org\/10.5281\/zenodo.2604531<\/a>.<\/li>\n\n\n\n
      2. Inder J. Taneja<\/strong>, Pandigital Equivalent Selfie Fractions<\/em>, Zenodo<\/strong>, April 02, 2019, pp. 1-392, http:\/\/doi.org\/10.5281\/zenodo.2622028<\/a>.<\/li>\n\n\n\n
      3. Inder J. Taneja<\/strong>, Repeated Digits Selfie Fractions: Two- and Three-Digits Numerators<\/em>, Zenodo<\/strong>, September 12, 2019, pp. 1-1091, http:\/\/doi.org\/10.5281\/zenodo.3406655<\/a>.<\/li>\n\n\n\n
      4. Inder J. Taneja<\/strong>, Different Digits Selfie Fractions: Two- and Three-Digits Numerators<\/em>, Zenodo<\/strong>, September 12, 2019, pp. 1-337, http:\/\/doi.org\/10.5281\/zenodo.3474091<\/a><\/li>\n\n\n\n
      5. Inder J. Taneja<\/strong>, Different Digits Selfie Fractions: Four Digits Numerator<\/em>, Zenodo<\/strong>, October 06, 2019, pp. 1-844, http:\/\/doi.org\/10.5281\/zenodo.3474267<\/a>.<\/li>\n\n\n\n
      6. nder J. Taneja<\/strong>, Patterned Selfie Fractions<\/em>, Zenodo<\/strong>, October 27, 2019, pp. 1-267, http:\/\/doi.org\/10.5281\/zenodo.3520096<\/a>.<\/li>\n\n\n\n
      7. Inder J. Taneja<\/strong>, Different Digits Selfie Fractions: Five Digits Numerator \u2013 Pandigital<\/em>, Zenodo<\/strong>, October 06, 2019, pp. 1-362, http:\/\/doi.org\/10.5281\/zenodo.3474379<\/a>.<\/li>\n\n\n\n
      8. Inder J. Taneja<\/strong>, Patterns in Splitted Selfie Fractions, Zenodo<\/strong>, July 30, 2023, pp. 1-122, http:\/\/doi.org\/10.5281\/zenodo.8197701<\/a><\/li>\n<\/ol>\n\n\n\n

        <\/p>\n","protected":false},"excerpt":{"rendered":"

        References 1. Pattern in Pythagorean Triples 2. Semi-Selfie Representations 3 Selfie-Fractions and Patterns<\/p>\n","protected":false},"author":1,"featured_media":17775,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-17774","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-days-of-year"],"jetpack_featured_media_url":"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/01\/day-31.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/17774","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=17774"}],"version-history":[{"count":1,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/17774\/revisions"}],"predecessor-version":[{"id":17776,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/17774\/revisions\/17776"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/17775"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=17774"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=17774"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=17774"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}