{"id":14951,"date":"2025-04-23T08:12:41","date_gmt":"2025-04-23T13:12:41","guid":{"rendered":"https:\/\/uwm.edu\/math\/?post_type=tribe_events&p=14951"},"modified":"2025-04-23T08:12:41","modified_gmt":"2025-04-23T13:12:41","slug":"graduate-student-colloquium-levi-montee","status":"publish","type":"tribe_events","link":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-levi-montee\/","title":{"rendered":"Graduate Student Colloquium: Levi Montee"},"content":{"rendered":"

\"\"<\/h1>\n

Partitioning the Natural Numbers with Fibonacci-like Sequences<\/h1>\n

Levi Montee
\nGraduate Student<\/em>
\nUniversity of Wisconsin-Milwaukee<\/p>\n

Famously seen in the displacement of seeds in a sunflower, the branching of tree limbs or enumerating results in a variety of combinatorics problems, the Fibonacci sequence has become one of the most recognizable sequences in mathematics. Beginning f0 = 0, f1 = 1, and continuing fn+1 = fn + fn-1, this simple recurrence relation has been well studied for centuries. In this talk, we will investigate sequences determined by the same recurrence relation given alternative starting points. We attempt to classify these sequences, see which familiar Fibonacci properties are kept intact, and examine when two such sequences share terms. Ultimately, we aim to find a set of disjoint Fibonacci-like sequences that partition the natural numbers, and see how these might be useful in solving particular logic games\/puzzles.<\/p>\n","protected":false},"excerpt":{"rendered":"

Partitioning the Natural Numbers with Fibonacci-like Sequences Levi Montee Graduate Student University of Wisconsin-Milwaukee Famously seen in the displacement of seeds in a sunflower, the branching of tree limbs or enumerating results in a variety of combinatorics problems, the Fibonacci …<\/p>\n","protected":false},"author":4217,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","uwm_wg_additional_authors":[]},"tags":[],"tribe_events_cat":[70],"class_list":["post-14951","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-graduate-student-colloquia","cat_graduate-student-colloquia"],"yoast_head":"\nMathematical Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-levi-montee\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Graduate Student Colloquium: Levi Montee\" \/>\n<meta property=\"og:description\" content=\"Partitioning the Natural Numbers with Fibonacci-like Sequences Levi Montee Graduate Student University of Wisconsin-Milwaukee Famously seen in the displacement of seeds in a sunflower, the branching of tree limbs or enumerating results in a variety of combinatorics problems, the Fibonacci …\" \/>\n<meta property=\"og:url\" content=\"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-levi-montee\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathematical Sciences\" \/>\n<meta property=\"og:image\" content=\"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2025\/04\/5.png\" \/>\n\t<meta property=\"og:image:width\" content=\"984\" \/>\n\t<meta property=\"og:image:height\" content=\"504\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-levi-montee\\\/\",\"url\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-levi-montee\\\/\",\"name\":\"Graduate Student Colloquium: Levi Montee - Mathematical Sciences\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-levi-montee\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-levi-montee\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/uwm.edu\\\/math\\\/wp-content\\\/uploads\\\/sites\\\/112\\\/2025\\\/04\\\/5.png\",\"datePublished\":\"2025-04-23T13:12:41+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-levi-montee\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-levi-montee\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-levi-montee\\\/#primaryimage\",\"url\":\"https:\\\/\\\/uwm.edu\\\/math\\\/wp-content\\\/uploads\\\/sites\\\/112\\\/2025\\\/04\\\/5.png\",\"contentUrl\":\"https:\\\/\\\/uwm.edu\\\/math\\\/wp-content\\\/uploads\\\/sites\\\/112\\\/2025\\\/04\\\/5.png\",\"width\":984,\"height\":504},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-levi-montee\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\",\"item\":\"https:\\\/\\\/uwm.edu\\\/math\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Events\",\"item\":\"https:\\\/\\\/uwm.edu\\\/math\\\/events\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Graduate Student Colloquia\",\"item\":\"https:\\\/\\\/uwm.edu\\\/math\\\/events\\\/category\\\/graduate-student-colloquia\\\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Graduate Student Colloquium: Levi Montee\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/#website\",\"url\":\"https:\\\/\\\/uwm.edu\\\/math\\\/\",\"name\":\"Mathematical Sciences\",\"description\":\"UW-Milwaukee\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/uwm.edu\\\/math\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Mathematical Sciences","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-levi-montee\/","og_locale":"en_US","og_type":"article","og_title":"Graduate Student Colloquium: Levi Montee","og_description":"Partitioning the Natural Numbers with Fibonacci-like Sequences Levi Montee Graduate Student University of Wisconsin-Milwaukee Famously seen in the displacement of seeds in a sunflower, the branching of tree limbs or enumerating results in a variety of combinatorics problems, the Fibonacci …","og_url":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-levi-montee\/","og_site_name":"Mathematical Sciences","og_image":[{"width":984,"height":504,"url":"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2025\/04\/5.png","type":"image\/png"}],"twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-levi-montee\/","url":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-levi-montee\/","name":"Graduate Student Colloquium: Levi Montee - Mathematical Sciences","isPartOf":{"@id":"https:\/\/uwm.edu\/math\/#website"},"primaryImageOfPage":{"@id":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-levi-montee\/#primaryimage"},"image":{"@id":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-levi-montee\/#primaryimage"},"thumbnailUrl":"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2025\/04\/5.png","datePublished":"2025-04-23T13:12:41+00:00","breadcrumb":{"@id":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-levi-montee\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-levi-montee\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-levi-montee\/#primaryimage","url":"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2025\/04\/5.png","contentUrl":"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2025\/04\/5.png","width":984,"height":504},{"@type":"BreadcrumbList","@id":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-levi-montee\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"","item":"https:\/\/uwm.edu\/math\/"},{"@type":"ListItem","position":2,"name":"Events","item":"https:\/\/uwm.edu\/math\/events\/"},{"@type":"ListItem","position":3,"name":"Graduate Student Colloquia","item":"https:\/\/uwm.edu\/math\/events\/category\/graduate-student-colloquia\/"},{"@type":"ListItem","position":4,"name":"Graduate Student Colloquium: Levi Montee"}]},{"@type":"WebSite","@id":"https:\/\/uwm.edu\/math\/#website","url":"https:\/\/uwm.edu\/math\/","name":"Mathematical Sciences","description":"UW-Milwaukee","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/uwm.edu\/math\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"acf":[],"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/tribe_events\/14951","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/tribe_events"}],"about":[{"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/types\/tribe_events"}],"author":[{"embeddable":true,"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/users\/4217"}],"version-history":[{"count":2,"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/tribe_events\/14951\/revisions"}],"predecessor-version":[{"id":14954,"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/tribe_events\/14951\/revisions\/14954"}],"wp:attachment":[{"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/media?parent=14951"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/tags?post=14951"},{"taxonomy":"tribe_events_cat","embeddable":true,"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/tribe_events_cat?post=14951"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}