{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T04:36:56Z","timestamp":1747197416379,"version":"3.40.5"},"reference-count":0,"publisher":"PPUFU - Portal de Peri\u00f3dicos da Universidade Federal de Uberl\u00e2ndia","license":[{"start":{"date-parts":[[2024,8,20]],"date-time":"2024-08-20T00:00:00Z","timestamp":1724112000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Braz. Elect. J. Math."],"abstract":"<jats:p>Este estudo explora uma extens\u00e3o da sequ\u00eancia de Perrin, definindo a sequ\u00eancia de Tetrarrin. Assim, investigamos os n\u00fameros Tetrarrin e suas rela\u00e7\u00f5es matem\u00e1ticas, permitindo um aprofundamento na compreens\u00e3o dos n\u00fameros de Perrin. Neste contexto, analisamos a f\u00f3rmula de Binet, a forma matricial, entre outros teoremas, possibilitando a obten\u00e7\u00e3o dos termos dessa nova sequ\u00eancia por diferentes m\u00e9todos. \u00c9 importante destacar que a sequ\u00eancia de Tetrarrin \u00e9 de ordem superior e derivada da sequ\u00eancia de Perrin. Para trabalhos futuros, pretendemos integrar esse conte\u00fado com outras \u00e1reas de estudo, al\u00e9m de utilizar ferramentas e softwares que possibilitem a visualiza\u00e7\u00e3o das propriedades matem\u00e1ticas dessa sequ\u00eancia de maneira mais intuitiva e acess\u00edvel.<\/jats:p>","DOI":"10.14393\/bejom-v5-2024-69801","type":"journal-article","created":{"date-parts":[[2024,8,20]],"date-time":"2024-08-20T12:30:36Z","timestamp":1724157036000},"page":"1-11","source":"Crossref","is-referenced-by-count":0,"title":["Uma nota sobre a sequ\u00eancia de Tetrarrin"],"prefix":"10.14393","volume":"5","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1966-7097","authenticated-orcid":false,"given":"Renata Passos Machado","family":"Vieira","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3710-1561","authenticated-orcid":false,"given":"Francisco Regis Vieira","family":"Alves","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6917-5093","authenticated-orcid":false,"given":"Paula Maria Machado Cruz","family":"Catarino","sequence":"additional","affiliation":[]}],"member":"5515","published-online":{"date-parts":[[2024,8,20]]},"container-title":["BRAZILIAN ELECTRONIC JOURNAL OF MATHEMATICS"],"original-title":[],"link":[{"URL":"https:\/\/seer.ufu.br\/index.php\/BEJOM\/article\/download\/69801\/39241","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/seer.ufu.br\/index.php\/BEJOM\/article\/download\/69801\/39241","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,26]],"date-time":"2024-09-26T19:08:27Z","timestamp":1727377707000},"score":1,"resource":{"primary":{"URL":"https:\/\/seer.ufu.br\/index.php\/BEJOM\/article\/view\/69801"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,8,20]]},"references-count":0,"URL":"https:\/\/doi.org\/10.14393\/bejom-v5-2024-69801","relation":{},"ISSN":["2675-1313"],"issn-type":[{"type":"electronic","value":"2675-1313"}],"subject":[],"published":{"date-parts":[[2024,8,20]]}}}