{"id":25655,"date":"2023-07-25T18:18:49","date_gmt":"2023-07-25T23:18:49","guid":{"rendered":"http:\/\/blog.kenperlin.com\/?p=25655"},"modified":"2023-07-25T18:18:49","modified_gmt":"2023-07-25T23:18:49","slug":"lexical-math-part-3","status":"publish","type":"post","link":"http:\/\/blog.kenperlin.com\/?p=25655","title":{"rendered":"Lexical math, part 3"},"content":{"rendered":"<p>When we last left off this topic, we were looking at the sequence &#8220;Four&#8221;, &#8220;Twelve&#8221;, &#8220;Thirty three&#8221;, &#8220;Thirty six&#8221;. The pattern here comes from the number of letters in each entry: 4, 6, 11 and 9, respectively.<\/p>\n<p>And that gives us a pattern: 4\/4 = 1, 12\/6 = 2, 33\/11 = 3, 36\/9 = 4.<\/p>\n<p>So what might come next in the sequence? I managed to find two answers:<\/p>\n<p>Thirty<br \/>\nForty five<\/p>\n<p>In the first case, 30\/6 = 5. In the second case, 45\/9 = 5.<\/p>\n<p>I wonder whether it is possible to prove whether these are the only two possible answers. Also, I wonder whether it is possible to prove anything about the sequence in general.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>When we last left off this topic, we were looking at the sequence &#8220;Four&#8221;, &#8220;Twelve&#8221;, &#8220;Thirty three&#8221;, &#8220;Thirty six&#8221;. The pattern here comes from the number of letters in each entry: 4, 6, 11 and 9, respectively. And that gives us a pattern: 4\/4 = 1, 12\/6 = 2, 33\/11 = 3, 36\/9 = 4. &hellip; <a href=\"http:\/\/blog.kenperlin.com\/?p=25655\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Lexical math, part 3&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"_links":{"self":[{"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts\/25655"}],"collection":[{"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=25655"}],"version-history":[{"count":0,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts\/25655\/revisions"}],"wp:attachment":[{"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25655"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25655"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25655"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}