{"id":17567,"date":"2026-01-05T23:32:05","date_gmt":"2026-01-06T02:32:05","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=17567"},"modified":"2026-01-09T00:02:14","modified_gmt":"2026-01-09T03:02:14","slug":"6th-7th-8th-and-9th-days-of-the-year-06-01-26-07-01-26-08-01-26-and-09-01-26-recreating-numbers-and-representations","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=17567","title":{"rendered":"6th, 7th, 8th and 9th Days of the Year: 06.01.26, 07.01.26, 08.01.26 and 09.01.26 &#8211; Recreating Numbers and Representations"},"content":{"rendered":"<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1253\" height=\"1603\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/01\/06070809-0126a.png\" alt=\"\" class=\"wp-image-17573\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/01\/06070809-0126a.png 1253w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/01\/06070809-0126a-234x300.png 234w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/01\/06070809-0126a-800x1024.png 800w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/01\/06070809-0126a-768x983.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/01\/06070809-0126a-535x684.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/01\/06070809-0126a-1201x1536.png 1201w\" sizes=\"(max-width: 1253px) 100vw, 1253px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-blush-light-purple-gradient-background has-background\">References <\/h3>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-2110a66ceb79608d7a64df0d3ce58fd5\">1. Crazy Representations<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Inder J. Teneja,<\/strong> <a href=\"https:\/\/numbers-magic.com\/?p=893\">Crazy Representations of Natural Numbers \u2013 The 10958 Problem<\/a><\/li>\n\n\n\n<li><strong>Inder J. Teneja,<\/strong> <a href=\"https:\/\/numbers-magic.com\/?p=11640\">Multiple Choices for Crazy Representations of Natural Numbers<\/a><\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-734d1aa23134df0de6cdb2676273bbba\">2. Running Equalitiy Expressions<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Running Expressions in Increasing and Decreasing Orders of Natural Numbers Separated by Equality Signs<\/em>, RGMIA Research Report Collection,&nbsp;<strong>18<\/strong>(2015), Article 27, pp.1-54, <a href=\"http:\/\/rgmia.org\/papers\/v18\/v18a27.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/rgmia.org\/papers\/v18\/v18a27.pdf<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Running Expressions with Equalities: Increasing and Decreasing Orders \u2013 I<\/em>, RGMIA Research Report Collection,&nbsp;<strong>20<\/strong>(2017), Art. 33, pp.1-57,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a33.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a33.pdf<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Running Expressions with Equalities: Increasing and Decreasing Orders \u2013 II<\/em>, RGMIA Research Report Collection,&nbsp;<strong>20<\/strong>(2017), Art. 34, pp.1-87,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a34.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/rgmia.org\/papers\/v20\/v20a34.pdf<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Fibonacci Sequence and Running Expressions with Equalities \u2013 I<\/em>, RGMIA Research Report Collection,&nbsp;<strong>20<\/strong>(2017), Art. 35, pp. 1-83,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a35.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/rgmia.org\/papers\/v20\/v20a35.pdf<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Running Expressions with Triangular Numbers \u2013 I<\/em>,&nbsp;<strong>Zenodo<\/strong>, December 21, 2018,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.2483327\">http:\/\/doi.org\/10.5281\/zenodo.2483327<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Crazy Running Equality Expressions with Factorial and Square-Root<\/em>,&nbsp;<strong>Zenodo<\/strong>, December 06, 2021, pp. 1-464,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.5761752\">https:\/\/doi.org\/10.5281\/zenodo.5761752<\/a>.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-ea07883b5b161d83d79e2323d715c6d9\">3. Pattern in Pythagorean Triples<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Patterns in Pythagorean Triples Using Single and Double Variable Procedures<\/em>,&nbsp;<strong>Zenodo<\/strong>, January 19, 2019, pp. 1-134,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.2544519\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2544519<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Multiple-Type Patterns and Pythagorean Triples<\/em>,&nbsp;<strong>Zenodo<\/strong>, January 19, 2019, pp.1-53, <a href=\"http:\/\/doi.org\/10.5281\/zenodo.2544527\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2544527<\/a><\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Palindromic-Type Pandigital Patterns in Pythagorean Triples<\/em>,&nbsp;<strong>Zenodo<\/strong>, January 20, 2019, pp. 1-160,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.2544551\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2544551<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Generating Pythagorean Triples, Patterns, and Magic Squares<\/em>,&nbsp;<strong>Zenodo<\/strong>, January 20, 2019, pp. 1-121,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.2544555\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2544555<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Patterns in Pythagorean Triples,&nbsp;<strong>Zenodo<\/strong>, March 13, 1-136, 2021,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.4603197\">http:\/\/doi.org\/10.5281\/zenodo.4603197<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Pandigital-Type and Pythagorean Triples Patterns<\/em>,&nbsp;<strong>Zenodo<\/strong>, March 17, 1-750, <a href=\"http:\/\/doi.org\/10.5281\/zenodo.4611511\">http:\/\/doi.org\/10.5281\/zenodo.4611511<\/a>.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-1b869bf9a8819442f769fa3219d81a26\">4. Semi-Selfie Representations<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Patterns in Selfie and Semi-Selfie Numbers<\/em>,&nbsp;<strong>Zenodo<\/strong>, February 6, 2019, pp. 1-51, <a href=\"http:\/\/doi.org\/10.5281\/zenodo.2563202\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2563202<\/a>. <\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Semi-Selfie Numbers<\/em>,&nbsp;<strong>Zenodo<\/strong>, February 12, 2019, pp. 1-394, <a href=\"http:\/\/doi.org\/10.5281\/zenodo.2562390\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2562390<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Power-Type Semi-Selfie Numbers and Patterns<\/em>,&nbsp;<strong>Zenodo<\/strong>, July 16, 2019, pp. 1-130, <a href=\"http:\/\/doi.org\/10.5281\/zenodo.3338366\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.3338366<\/a>.<\/li>\n<\/ol>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>References 1. Crazy Representations 2. Running Equalitiy Expressions 3. Pattern in Pythagorean Triples 4. Semi-Selfie Representations<\/p>\n","protected":false},"author":1,"featured_media":17568,"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-17567","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\/06070809-0126.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/17567","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=17567"}],"version-history":[{"count":2,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/17567\/revisions"}],"predecessor-version":[{"id":17574,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/17567\/revisions\/17574"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/17568"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=17567"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=17567"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=17567"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}