{"id":19572,"date":"2013-05-03T22:53:02","date_gmt":"2013-05-03T22:53:02","guid":{"rendered":"http:\/\/thomasjpitts.co.uk\/wp\/?p=19572"},"modified":"2013-05-03T22:53:02","modified_gmt":"2013-05-03T22:53:02","slug":"day-123-the-lucas-sequence-and-getting-on-with-life","status":"publish","type":"post","link":"https:\/\/thomasjpitts.co.uk\/wordpress\/2013\/05\/03\/day-123-the-lucas-sequence-and-getting-on-with-life\/","title":{"rendered":"Day 123: The Lucas Sequence And Getting On With Life"},"content":{"rendered":"<p>I&#8217;m not a fan of the number 123.<\/p>\n<p>It&#8217;s a <a class=\"zem_slink\" title=\"Lucas number\" href=\"http:\/\/en.wikipedia.org\/wiki\/Lucas_number\" target=\"_blank\" rel=\"wikipedia\">Lucas number<\/a> &#8211; a number sequence similar to <a class=\"zem_slink\" title=\"Fibonacci\" href=\"http:\/\/en.wikipedia.org\/wiki\/Fibonacci\" target=\"_blank\" rel=\"wikipedia\">Fibonacci<\/a>&#8216;s (where\u00a0the\u00a0previous two numbers are added to make the next). Fibonacci&#8217;s sequence begins: 1, 1, 2, 3, 5, 8&#8230; The <a class=\"zem_slink\" title=\"Lucas sequence\" href=\"http:\/\/en.wikipedia.org\/wiki\/Lucas_sequence\" target=\"_blank\" rel=\"wikipedia\">Lucas sequence<\/a> begins 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123&#8230; like Fibonacci&#8217;s sequence, the ratio between two consecutive Lucas numbers converges towards the golden ratio.<\/p>\n<p>It is a popular telephone number: the emergency number in <a class=\"zem_slink\" title=\"Colombia\" href=\"http:\/\/en.wikipedia.org\/wiki\/Colombia\" target=\"_blank\" rel=\"wikipedia\">Colombia<\/a>, the speaking clock here in the <a class=\"zem_slink\" title=\"United Kingdom\" href=\"http:\/\/en.wikipedia.org\/wiki\/United_Kingdom\" target=\"_blank\" rel=\"wikipedia\">UK<\/a>, the electricity emergency number in Indonesia and the <a class=\"zem_slink\" title=\"Emergency telephone number\" href=\"http:\/\/en.wikipedia.org\/wiki\/Emergency_telephone_number\" target=\"_blank\" rel=\"wikipedia\">medical emergency number<\/a> in <a class=\"zem_slink\" title=\"Egypt\" href=\"http:\/\/maps.google.com\/maps?ll=30.0333333333,31.2166666667&amp;spn=10.0,10.0&amp;q=30.0333333333,31.2166666667 (Egypt)&amp;t=h\" target=\"_blank\" rel=\"geolocation\">Egypt<\/a>.<\/p>\n<p>In the year 123AD, <a class=\"zem_slink\" title=\"Hadrian\" href=\"http:\/\/en.wikipedia.org\/wiki\/Hadrian\" target=\"_blank\" rel=\"wikipedia\">Hadrian<\/a> was the <a class=\"zem_slink\" title=\"Roman emperor\" href=\"http:\/\/en.wikipedia.org\/wiki\/Roman_emperor\" target=\"_blank\" rel=\"wikipedia\">Roman Emperor<\/a> and work was well under way on his wall &#8211; Houseteads <a class=\"zem_slink\" title=\"Castra\" href=\"http:\/\/en.wikipedia.org\/wiki\/Castra\" target=\"_blank\" rel=\"wikipedia\">Roman fort<\/a> was completed in 123AD. This is my link with it, having visited the wall &#8211; although not Housteads Fort.<\/p>\n<p>There we go, stuff about 123.<\/p>\n<p>In my life today, I&#8217;ve done more odd jobs. Nothing massively interesting. The house is nice and clean, the fridge has food in it again, jobs on lists have been ticked. 1500 litres of compost was delivered, which Mrs Pitts has placed in our\u00a0raised\u00a0beds. I visited Helen, Ellie and James to pass on congratulations and birthday cards. In all, a lovely day.<\/p>\n<h6 class=\"zemanta-related-title\" style=\"font-size: 1em;\">Related articles<\/h6>\n<ul class=\"zemanta-article-ul zemanta-article-ul-image\" style=\"margin: 0; padding: 0; overflow: hidden;\">\n<li class=\"zemanta-article-ul-li-image zemanta-article-ul-li\" style=\"padding: 0; background: none; list-style: none; display: block; float: left; vertical-align: top; text-align: left; width: 84px; font-size: 11px; margin: 2px 10px 10px 2px;\"><a style=\"box-shadow: 0px 0px 4px #999; padding: 2px; display: block; border-radius: 2px; text-decoration: none;\" href=\"http:\/\/sureshemre.wordpress.com\/2013\/04\/25\/golden-number-and-lucas-sequence\/\" target=\"_blank\"><img data-recalc-dims=\"1\" decoding=\"async\" style=\"padding: 0; margin: 0; border: 0; display: block; width: 80px; max-width: 100%;\" alt=\"\" src=\"https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wp\/wp-content\/uploads\/2013\/05\/163384571_80_80.jpg?w=1165\" \/><\/a><a style=\"display: block; overflow: hidden; text-decoration: none; line-height: 12pt; height: 80px; padding: 5px 2px 0 2px;\" href=\"http:\/\/sureshemre.wordpress.com\/2013\/04\/25\/golden-number-and-lucas-sequence\/\" target=\"_blank\">Golden Number and Lucas Sequence<\/a><\/li>\n<li class=\"zemanta-article-ul-li-image zemanta-article-ul-li\" style=\"padding: 0; background: none; list-style: none; display: block; float: left; vertical-align: top; text-align: left; width: 84px; font-size: 11px; margin: 2px 10px 10px 2px;\"><a style=\"box-shadow: 0px 0px 4px #999; padding: 2px; display: block; border-radius: 2px; text-decoration: none;\" href=\"http:\/\/earthsky.org\/human-world\/nautilus-shell-fibonacci-logarithmic-spiral-golden-spiral\" target=\"_blank\"><img data-recalc-dims=\"1\" decoding=\"async\" style=\"padding: 0; margin: 0; border: 0; display: block; width: 80px; max-width: 100%;\" alt=\"\" src=\"https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wp\/wp-content\/uploads\/2013\/05\/161245327_80_80.jpg?w=1165\" \/><\/a><a style=\"display: block; overflow: hidden; text-decoration: none; line-height: 12pt; height: 80px; padding: 5px 2px 0 2px;\" href=\"http:\/\/earthsky.org\/human-world\/nautilus-shell-fibonacci-logarithmic-spiral-golden-spiral\" target=\"_blank\">What&#8217;s special about the shape of a Nautilus shell?<\/a><\/li>\n<li class=\"zemanta-article-ul-li-image zemanta-article-ul-li\" style=\"padding: 0; background: none; list-style: none; display: block; float: left; vertical-align: top; text-align: left; width: 84px; font-size: 11px; margin: 2px 10px 10px 2px;\"><a style=\"box-shadow: 0px 0px 4px #999; padding: 2px; display: block; border-radius: 2px; text-decoration: none;\" href=\"http:\/\/tombedlamscabinetofcuriosities.wordpress.com\/2013\/05\/02\/the-hidden-24-number-subcode-in-the-fibonacci-numbers\/\" target=\"_blank\"><img data-recalc-dims=\"1\" decoding=\"async\" style=\"padding: 0; margin: 0; border: 0; display: block; width: 80px; max-width: 100%;\" alt=\"\" src=\"https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wp\/wp-content\/uploads\/2013\/05\/noimg_82_80_80.jpg?w=1165\" \/><\/a><a style=\"display: block; overflow: hidden; text-decoration: none; line-height: 12pt; height: 80px; padding: 5px 2px 0 2px;\" href=\"http:\/\/tombedlamscabinetofcuriosities.wordpress.com\/2013\/05\/02\/the-hidden-24-number-subcode-in-the-fibonacci-numbers\/\" target=\"_blank\">The hidden 24 number subcode in the Fibonacci numbers<\/a><\/li>\n<li class=\"zemanta-article-ul-li-image zemanta-article-ul-li\" style=\"padding: 0; background: none; list-style: none; display: block; float: left; vertical-align: top; text-align: left; width: 84px; font-size: 11px; margin: 2px 10px 10px 2px;\"><a style=\"box-shadow: 0px 0px 4px #999; padding: 2px; display: block; border-radius: 2px; text-decoration: none;\" href=\"http:\/\/deakinscicomm.wordpress.com\/2013\/04\/28\/decimals-have-a-point-fibonacci-numbers\/\" target=\"_blank\"><img data-recalc-dims=\"1\" decoding=\"async\" style=\"padding: 0; margin: 0; border: 0; display: block; width: 80px; max-width: 100%;\" alt=\"\" src=\"https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wp\/wp-content\/uploads\/2013\/05\/163838875_80_80.jpg?w=1165\" \/><\/a><a style=\"display: block; overflow: hidden; text-decoration: none; line-height: 12pt; height: 80px; padding: 5px 2px 0 2px;\" href=\"http:\/\/deakinscicomm.wordpress.com\/2013\/04\/28\/decimals-have-a-point-fibonacci-numbers\/\" target=\"_blank\">Decimals have a point &#8211; Fibonacci Numbers<\/a><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<div class=\"zemanta-pixie\" style=\"margin-top: 10px; height: 15px;\"><a class=\"zemanta-pixie-a\" title=\"Enhanced by Zemanta\" href=\"http:\/\/www.zemanta.com\/?px\"><img data-recalc-dims=\"1\" decoding=\"async\" class=\"zemanta-pixie-img\" style=\"border: none; float: right;\" alt=\"Enhanced by Zemanta\" src=\"https:\/\/i0.wp.com\/img.zemanta.com\/zemified_e.png?w=1165\" \/><\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>I&#8217;m not a fan of the number 123. It&#8217;s a Lucas number &#8211; a number sequence similar to Fibonacci&#8216;s (where\u00a0the\u00a0previous two numbers are added to make the next). Fibonacci&#8217;s sequence begins: 1, 1, 2, 3, 5, 8&#8230; The Lucas sequence begins 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123&#8230; like Fibonacci&#8217;s sequence, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[2,18,33],"tags":[735,1021,1035,1126,1364,1839,1840,2585],"class_list":["post-19572","post","type-post","status-publish","format-standard","hentry","category-2","category-maths","category-work","tag-colombia","tag-egypt","tag-emergency-telephone-number","tag-fibonacci","tag-hadrian","tag-lucas","tag-lucas-number","tag-roman-emperor","has-post-title","has-post-date","has-post-category","has-post-tag","has-post-comment","has-post-author",""],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p6OeSW-55G","jetpack-related-posts":[],"builder_content":"","_links":{"self":[{"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/posts\/19572","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/comments?post=19572"}],"version-history":[{"count":0,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/posts\/19572\/revisions"}],"wp:attachment":[{"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/media?parent=19572"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/categories?post=19572"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/tags?post=19572"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}