{"id":1101,"date":"2022-03-06T23:30:11","date_gmt":"2022-03-07T02:30:11","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=1101"},"modified":"2022-03-06T23:32:21","modified_gmt":"2022-03-07T02:32:21","slug":"patterns-in-single-letter-representations-of-natural-numbers","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=1101","title":{"rendered":"Patterns in Single Letter Representations of Natural Numbers"},"content":{"rendered":"\n<p>In following two works there are representations of natural numbers from 1 to 11111 in terms of single letter &#8220;a&#8221;. <\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Inder J. Taneja, Fraction-Type Single Letter Representations of Natural Numbers From 1 to 11111, <strong>Zenodo<\/strong>, February 4, 2019, pp. 1-203,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.2556902\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2556902<\/a>.<\/li><li>Inder J. Taneja, Single Letter Representations of Natural Numbers from 1 to 11111,&nbsp;<strong>Zenodo<\/strong>, February 5, 2019, pp. 1-133,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.2557025\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2557025<\/a>.<\/li><\/ul>\n\n\n\n<p>These representations are two types. One as a natural way. The second one is of fraction-type. More details can be see at the following link:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/numbers-magic.com\/?p=1097\" target=\"_blank\" rel=\"noreferrer noopener\">Single Letter Representations Of Natural\u00a0 Numbers<\/a><\/li><\/ul>\n\n\n\n<p>This work brings patterns in single letter representations of natural numbers from 1 to 1000. Few examples of patterns are as follows:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"630\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/SL-1-1024x630.png\" alt=\"\" class=\"wp-image-1102\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/SL-1-1024x630.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/SL-1-600x369.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/SL-1-300x185.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/SL-1-768x472.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/SL-1-535x329.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/SL-1.png 1452w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n\n<p>More examples of similar kind can be seen at the following work:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Inder J. Taneja, Patterned Single Letter Representations of Natural Numbers, <strong>Zenodo<\/strong>, July 02, 2020, pp. 1-110, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.3928507\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.3928507<\/a><\/li><\/ul>\n\n\n\n<p>For similar kind of pattern in terms of single digit see the link below:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/numbers-magic.com\/?p=1077\" target=\"_blank\" rel=\"noreferrer noopener\">Patterns In Single Digits Representations of Natural Numbers<\/a><\/li><\/ul>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In following two works there are representations of natural numbers from 1 to 11111 in terms of single letter &#8220;a&#8221;. Inder J. Taneja, Fraction-Type Single Letter Representations of Natural Numbers From 1 to 11111, Zenodo, February 4, 2019, pp. 1-203,&nbsp;http:\/\/doi.org\/10.5281\/zenodo.2556902. Inder J. Taneja, Single Letter Representations of Natural Numbers from 1 to 11111,&nbsp;Zenodo, February 5, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1102,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[17],"tags":[],"class_list":["post-1101","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-single-digit-and-letter"],"jetpack_featured_media_url":"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/SL-1.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/1101","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=1101"}],"version-history":[{"count":2,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/1101\/revisions"}],"predecessor-version":[{"id":1105,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/1101\/revisions\/1105"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/1102"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1101"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1101"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1101"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}