{"id":11858,"date":"2024-05-25T00:52:00","date_gmt":"2024-05-25T03:52:00","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=11858"},"modified":"2024-05-24T22:59:56","modified_gmt":"2024-05-25T01:59:56","slug":"25th-may-24-and-146th-days-of-year-crazy-and-pyramid-type-representations","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=11858","title":{"rendered":"25th May, 24 and 146th Days of Year: Crazy and Pyramid-Type Representations"},"content":{"rendered":"\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"820\" height=\"1161\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Crazy-146.png\" alt=\"\" class=\"wp-image-11860\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Crazy-146.png 820w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Crazy-146-212x300.png 212w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Crazy-146-723x1024.png 723w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Crazy-146-768x1087.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Crazy-146-535x757.png 535w\" sizes=\"(max-width: 820px) 100vw, 820px\" \/><\/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=\"820\" height=\"1016\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Day-146.png\" alt=\"\" class=\"wp-image-11859\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Day-146.png 820w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Day-146-242x300.png 242w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Day-146-768x952.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/05\/Day-146-535x663.png 535w\" sizes=\"(max-width: 820px) 100vw, 820px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p>For this work see the reference numbers <strong>1, 14, 15 and 16<\/strong> in the reference list given below.<\/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>,&nbsp;<em>Square-Root Type Selfie Numbers<\/em>,&nbsp;<strong>Zenodo<\/strong>, July 06, 2019, pp. 1-248,&nbsp; <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><strong>Inder J. Taneja, <\/strong><a href=\"https:\/\/zenodo.org\/records\/8197701\">Patterns in Splitted Selfie Fractions (zenodo.org)<\/a><\/li>\n\n\n\n<li><strong>Inder J. Taneja, <\/strong><a href=\"https:\/\/zenodo.org\/records\/10662872\">Unified Study of Narcissistic Numbers without and with Division (zenodo.org)<\/a><\/li>\n\n\n\n<li><strong>Inder J. Taneja, <\/strong><a href=\"https:\/\/zenodo.org\/records\/3338366\">Power-Type Semi-Selfie Numbers and Patterns (zenodo.org)<\/a><\/li>\n\n\n\n<li><strong>Inder J. Taneja,\u00a0<\/strong><a href=\"https:\/\/zenodo.org\/records\/5761752\">Crazy Running Equality Expressions With Factorial and Square-Root (zenodo.org)<\/a><\/li>\n\n\n\n<li><strong>Inder J. Taneja,\u00a0<\/strong><a href=\"https:\/\/zenodo.org\/records\/3637662\">Pyramid-Type Representations of Natural Numbers (zenodo.org)<\/a><\/li>\n\n\n\n<li><strong>Inder J. Taneja,\u00a0<\/strong><a href=\"https:\/\/zenodo.org\/records\/10520278\">Pyramid-Type Representations of Natural Numbers from 1001 to 10000 (zenodo.org)<\/a><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>For this work see the reference numbers 1, 14, 15 and 16 in the reference list given below. References<\/p>\n","protected":false},"author":1,"featured_media":11859,"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-11858","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-146.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/11858","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=11858"}],"version-history":[{"count":1,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/11858\/revisions"}],"predecessor-version":[{"id":11861,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/11858\/revisions\/11861"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/11859"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11858"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11858"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11858"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}