{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,12,24]],"date-time":"2024-12-24T05:08:03Z","timestamp":1735016883066,"version":"3.32.0"},"reference-count":0,"publisher":"Taru Publications","issue":"8","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["JDMSC"],"published-print":{"date-parts":[[2024]]},"abstract":"<jats:p>This study focuses on exploring a combinatorial interpretation for the Perrin sequence, with the goal of making a meaningful contribution to the field of Mathematics education. In view of studies focused on the History of Mathematics containing the teaching of recurring numerical sequences present in textbooks, there is an interest in carrying out a combinatorial approach for a sequence regarded as akin to the Fibonacci numbers, which is the Perrin sequence. In this way, we have the definition of Perrin\u2019s bracelets, investigating Perrin\u2019s combinatorial model. Finally, combinatorial interpretations for the Perrin sequence extensions are discussed, generalizing the Perrin combinatorial model.<\/jats:p>","DOI":"10.47974\/jdmsc-1851","type":"journal-article","created":{"date-parts":[[2024,12,19]],"date-time":"2024-12-19T06:00:38Z","timestamp":1734588038000},"page":"2289-2300","source":"Crossref","is-referenced-by-count":0,"title":["A combinatorial interpretation of the Perrin sequence"],"prefix":"10.47974","volume":"27","author":[{"given":"Renata P. M.","family":"Vieira","sequence":"first","affiliation":[]},{"given":"Elen V. P.","family":"Spreafico","sequence":"additional","affiliation":[]},{"given":"Francisco R. V.","family":"Alves","sequence":"additional","affiliation":[]},{"given":"Paula M. M. C.","family":"Catarino","sequence":"additional","affiliation":[]}],"member":"27980","published-online":{"date-parts":[[2024]]},"container-title":["Journal of Discrete Mathematical Sciences and Cryptography"],"original-title":[],"deposited":{"date-parts":[[2024,12,23]],"date-time":"2024-12-23T10:46:41Z","timestamp":1734950801000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tarupublications.com\/doi\/10.47974\/JDMSC-1851"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024]]},"references-count":0,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2024]]},"published-print":{"date-parts":[[2024]]}},"URL":"https:\/\/doi.org\/10.47974\/jdmsc-1851","relation":{},"ISSN":["0972-0529","2169-0065"],"issn-type":[{"type":"print","value":"0972-0529"},{"type":"electronic","value":"2169-0065"}],"subject":[],"published":{"date-parts":[[2024]]}}}