{"id":17702,"date":"2026-01-18T00:09:59","date_gmt":"2026-01-18T03:09:59","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=17702"},"modified":"2026-01-18T00:10:03","modified_gmt":"2026-01-18T03:10:03","slug":"18th-19th-and-20th-days-of-the-year-18-01-26-19-01-26-and-20-01-26-recreating-numbers-and-patterns","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=17702","title":{"rendered":"18th, 19th and 20th Days of the Year: 18.01.26, 19.01.26 and 20.01.26 – Recreating Numbers and Patterns"},"content":{"rendered":"
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References <\/h3>\n\n\n\n

1. Crazy Representations<\/h3>\n\n\n\n
    \n
  1. Inder J. Teneja,<\/strong> Crazy Representations of Natural Numbers \u2013 The 10958 Problem<\/a><\/li>\n\n\n\n
  2. Inder J. Teneja,<\/strong> Multiple Choices for Crazy Representations of Natural Numbers<\/a><\/li>\n<\/ol>\n\n\n\n

    2. Running Equalitiy Expressions<\/h3>\n\n\n\n
      \n
    1. Inder J. Taneja<\/strong>, Running Expressions in Increasing and Decreasing Orders of Natural Numbers Separated by Equality Signs<\/em>, RGMIA Research Report Collection, 18<\/strong>(2015), Article 27, pp.1-54, http:\/\/rgmia.org\/papers\/v18\/v18a27.pdf<\/a>.<\/li>\n\n\n\n
    2. Inder J. Taneja<\/strong>, Running Expressions with Equalities: Increasing and Decreasing Orders \u2013 I<\/em>, RGMIA Research Report Collection, 20<\/strong>(2017), Art. 33, pp.1-57, http:\/\/rgmia.org\/papers\/v20\/v20a33.pdf<\/a>.<\/li>\n\n\n\n
    3. Inder J. Taneja<\/strong>, Running Expressions with Equalities: Increasing and Decreasing Orders \u2013 II<\/em>, RGMIA Research Report Collection, 20<\/strong>(2017), Art. 34, pp.1-87, http:\/\/rgmia.org\/papers\/v20\/v20a34.pdf<\/a>.<\/li>\n\n\n\n
    4. Inder J. Taneja<\/strong>, Fibonacci Sequence and Running Expressions with Equalities \u2013 I<\/em>, RGMIA Research Report Collection, 20<\/strong>(2017), Art. 35, pp. 1-83, http:\/\/rgmia.org\/papers\/v20\/v20a35.pdf<\/a>.<\/li>\n\n\n\n
    5. Inder J. Taneja<\/strong>, Running Expressions with Triangular Numbers \u2013 I<\/em>, Zenodo<\/strong>, December 21, 2018, http:\/\/doi.org\/10.5281\/zenodo.2483327<\/a>.<\/li>\n\n\n\n
    6. Inder J. Taneja<\/strong>, Crazy Running Equality Expressions with Factorial and Square-Root<\/em>, Zenodo<\/strong>, December 06, 2021, pp. 1-464, https:\/\/doi.org\/10.5281\/zenodo.5761752<\/a>.<\/li>\n<\/ol>\n\n\n\n

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

        4. Semi-Selfie Representations<\/h3>\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

          5. 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. Inder 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. Crazy Representations 2. Running Equalitiy Expressions 3. Pattern in Pythagorean Triples 4. Semi-Selfie Representations 5. Selfie-Fractions and Patterns<\/p>\n","protected":false},"author":1,"featured_media":17703,"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-17702","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\/18-20-0126.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/17702","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=17702"}],"version-history":[{"count":1,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/17702\/revisions"}],"predecessor-version":[{"id":17704,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/17702\/revisions\/17704"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/17703"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=17702"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=17702"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=17702"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}