{"id":977,"date":"2009-04-08T11:42:20","date_gmt":"2009-04-08T10:42:20","guid":{"rendered":"http:\/\/www.walkingrandomly.com\/?p=977"},"modified":"2009-04-08T11:42:20","modified_gmt":"2009-04-08T10:42:20","slug":"solution-to-problem-of-the-week-3-and-an-apology","status":"publish","type":"post","link":"https:\/\/walkingrandomly.com\/?p=977","title":{"rendered":"Solution to problem of the week #3 (and an apology)"},"content":{"rendered":"<p>From time to time I post a <a href=\"https:\/\/www.walkingrandomly.com\/?cat=21\">problem of the week<\/a> on Walking Randomly and invite readers to post solutions.\u00a0 Although I haven&#8217;t done many, they seem to be quite popular and so I plan on resurrecting the series soon.<\/p>\n<p>Back in August last year I posted a <a href=\"https:\/\/www.walkingrandomly.com\/?p=133\">problem concerning Fibonacci numbers<\/a> and matrices and Sam Shah (Of <a href=\"http:\/\/samjshah.com\/\">Continuous Everywhere but Differentiable Nowhere<\/a> fame) took the time to write out a full solution in a PDF file and sent it to me via email.\u00a0 I promised that I would publish it &#8216;soon&#8217;.<\/p>\n<p>Well&#8230;umm&#8230;&#8217;soon&#8217; turned out to be almost a year later.\u00a0 <a href=\"\/images\/pow\/Fibonacci_Matrices.pdf\">Here is Sam&#8217;s solution<\/a> to the <a href=\"https:\/\/www.walkingrandomly.com\/?p=133\">original problem<\/a> &#8211; enjoy!<\/p>\n<p>Sorry Sam!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>From time to time I post a problem of the week on Walking Randomly and invite readers to post solutions.\u00a0 Although I haven&#8217;t done many, they seem to be quite popular and so I plan on resurrecting the series soon. Back in August last year I posted a problem concerning Fibonacci numbers and matrices and [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[6,21],"tags":[],"class_list":["post-977","post","type-post","status-publish","format-standard","hentry","category-general-math","category-problem-of-the-week"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3swhs-fL","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/977","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=977"}],"version-history":[{"count":4,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/977\/revisions"}],"predecessor-version":[{"id":985,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/977\/revisions\/985"}],"wp:attachment":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=977"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=977"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=977"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}