{"id":11847,"date":"2024-05-23T00:16:00","date_gmt":"2024-05-23T03:16:00","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=11847"},"modified":"2024-05-22T11:28:21","modified_gmt":"2024-05-22T14:28:21","slug":"23rd-may-24-and-144th-days-of-year-crazy-representations-self-amicable-and-patterned-selfie-fractions","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=11847","title":{"rendered":"23rd May, 24 and 144th Days of Year \u2013 Crazy Representations, Self-Amicable and Patterned Selfie Fractions"},"content":{"rendered":"<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"823\" height=\"1164\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Crazy-144.png\" alt=\"\" class=\"wp-image-11848\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Crazy-144.png 823w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Crazy-144-212x300.png 212w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Crazy-144-724x1024.png 724w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Crazy-144-768x1086.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Crazy-144-535x757.png 535w\" sizes=\"(max-width: 823px) 100vw, 823px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" width=\"813\" height=\"1036\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Day-144.png\" alt=\"\" class=\"wp-image-11849\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Day-144.png 813w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Day-144-235x300.png 235w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Day-144-804x1024.png 804w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Day-144-768x979.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Day-144-535x682.png 535w\" sizes=\"(max-width: 813px) 100vw, 813px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-blush-light-purple-gradient-background has-background\">References<\/h2>\n\n\n\n<p><\/p>\n\n\n\n<ol class=\"has-light-green-cyan-to-vivid-green-cyan-gradient-background has-background wp-block-list\">\n<li><strong>Inder J. Taneja<\/strong>, <em>Crazy Sequential Representation: Numbers from 0 to 11111 in terms of Increasing and Decreasing Orders of 1 to 9<\/em>, Jan. 2014, pp.1-161,&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1302.1479\">http:\/\/arxiv.org\/abs\/1302.1479<\/a>.<br><strong>Site link:<\/strong>&nbsp;<em>Crazy Representations of Natural Numbers \u2013 The 10958 Problem<\/em>,&nbsp;<a href=\"https:\/\/inderjtaneja.com\/2018\/11\/16\/crazy-representations-of-natural-numbers-the-10958-problem\">https:\/\/inderjtaneja.com\/2018\/11\/16\/crazy-representations-of-natural-numbers-the-10958-problem<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, <a href=\"https:\/\/numbers-magic.com\/?p=11418\">Mathematical Representations for Days of the Year<\/a><\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, <a href=\"https:\/\/numbers-magic.com\/?p=11640\">Multiple Choices for Crazy Representations of Natural Numbers<\/a><\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, <a href=\"https:\/\/zenodo.org\/records\/3597506\"><\/a><a href=\"https:\/\/zenodo.org\/records\/10633471\">Multiple Representations of Selfie Numbers &#8211; I (zenodo.org)<\/a><\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Permutable Powers Selfie Numbers<\/em>,&nbsp;<strong>Zenodo<\/strong>, February 15, 2019, pp. 1-227,&nbsp; <a href=\"http:\/\/doi.org\/10.5281\/zenodo.2566445\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2566445<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Selfie Numbers: Basic Operations<\/em>,&nbsp;<strong>Zenodo<\/strong>, March 26, 2019, pp. 1-134,&nbsp; <a href=\"http:\/\/doi.org\/10.5281\/zenodo.2609143\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2609143<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Factorial-Type Selfie Numbers in Digit\u2019s Order<\/em>,&nbsp;<strong>Zenodo<\/strong>, March 06, 2019, pp. 1-243,&nbsp; <a href=\"http:\/\/doi.org\/10.5281\/zenodo.2585586\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2585586<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Factorial-Type Selfie Numbers in Reverse Order of Digits<\/em>,&nbsp;<strong>Zenodo<\/strong>, March 06, 2019, pp. 1-227,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.2585599\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2585599<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,\u00a0<em>Square-Root Type Selfie Numbers<\/em>,\u00a0<strong>Zenodo<\/strong>, July 06, 2019, pp. 1-248,\u00a0 <a href=\"http:\/\/doi.org\/10.5281\/zenodo.3352388\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.3352388<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, <a href=\"https:\/\/zenodo.org\/records\/2583306\">Amicable Numbers With Patterns in Products and Powers (zenodo.org)<\/a><\/li>\n\n\n\n<li>Inder J. Taneja, <a href=\"https:\/\/zenodo.org\/records\/8197701\">Patterns in Splitted Selfie Fractions (zenodo.org)<\/a><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>References<\/p>\n","protected":false},"author":1,"featured_media":11849,"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-11847","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\/2024\/05\/Day-144.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/11847","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=11847"}],"version-history":[{"count":1,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/11847\/revisions"}],"predecessor-version":[{"id":11850,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/11847\/revisions\/11850"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/11849"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11847"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11847"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11847"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}