{"id":6472,"date":"2023-11-29T05:58:03","date_gmt":"2023-11-29T12:58:03","guid":{"rendered":"https:\/\/theoryofeverything.org\/theToE\/?p=6472"},"modified":"2025-08-15T09:36:08","modified_gmt":"2025-08-15T16:36:08","slug":"my-e8-hadamard-and-pascal-triangle-related-oeis-integer-sequence-a367629","status":"publish","type":"post","link":"https:\/\/theoryofeverything.org\/theToE\/2023\/11\/29\/my-e8-hadamard-and-pascal-triangle-related-oeis-integer-sequence-a367629\/","title":{"rendered":"My E8, Hadamard, and Pascal Triangle related OEIS Integer Sequence A367629"},"content":{"rendered":"\n<p>In my research that has produced two arXiv papers on the topic of the isomorphisms of E8, I found a sequence derived from the sum of absolute values of the characteristic polynomial coefficients of n-qubit normalized Hadamard matrices and also relates to E8 and certain rows of the Pascal triangle. Please see that OEIS database entry <a href=\"https:\/\/oeis.org\/A367629\">here<\/a>.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><a href=\"https:\/\/oeis.org\/A367629\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"787\" height=\"703\" src=\"https:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2023\/11\/OEIS-A367629.png\" alt=\"\" class=\"wp-image-6473\" srcset=\"https:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2023\/11\/OEIS-A367629.png 787w, https:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2023\/11\/OEIS-A367629-500x447.png 500w\" sizes=\"auto, (max-width: 787px) 100vw, 787px\" \/><\/a><figcaption class=\"wp-element-caption\">OEIS A367629<\/figcaption><\/figure>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>In my research that has produced two arXiv papers on the topic of the isomorphisms of E8, I found a sequence derived from the sum of absolute values of the characteristic polynomial coefficients of n-qubit normalized Hadamard matrices and also relates to E8 and certain rows of the Pascal triangle. Please see that OEIS database &hellip; <a href=\"https:\/\/theoryofeverything.org\/theToE\/2023\/11\/29\/my-e8-hadamard-and-pascal-triangle-related-oeis-integer-sequence-a367629\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">My E8, Hadamard, and Pascal Triangle related OEIS Integer Sequence A367629<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[4,53,54],"class_list":["post-6472","post","type-post","status-publish","format-standard","hentry","category-physics","tag-e8","tag-hadamard","tag-oeis"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/6472","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/comments?post=6472"}],"version-history":[{"count":3,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/6472\/revisions"}],"predecessor-version":[{"id":7287,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/6472\/revisions\/7287"}],"wp:attachment":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/media?parent=6472"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/categories?post=6472"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/tags?post=6472"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}