{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,2]],"date-time":"2025-05-02T04:14:11Z","timestamp":1746159251049,"version":"3.40.4"},"reference-count":19,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Development Project of Science & Technology of Shandong Province","award":["2012GGX10115","11301251"],"award-info":[{"award-number":["2012GGX10115","11301251"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["2012GGX10115","11301251"],"award-info":[{"award-number":["2012GGX10115","11301251"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"AMEP of Linyi University, China","award":["2012GGX10115","11301251"],"award-info":[{"award-number":["2012GGX10115","11301251"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>The row first-minus-last right (RFMLR) circulant matrix and row last-minus-first left (RLMFL) circulant matrices are two special pattern matrices. By using the inverse factorization of polynomial, we give the exact formulae of determinants of the two pattern matrices involving Perrin, Padovan, Tribonacci, and the generalized Lucas sequences in terms of finite many terms of these sequences.<\/jats:p>","DOI":"10.1155\/2014\/585438","type":"journal-article","created":{"date-parts":[[2014,1,29]],"date-time":"2014-01-29T21:35:20Z","timestamp":1391031320000},"page":"1-11","source":"Crossref","is-referenced-by-count":3,"title":["Determinants of the RFMLR Circulant Matrices with Perrin, Padovan, Tribonacci, and the Generalized Lucas Numbers"],"prefix":"10.1155","volume":"2014","author":[{"given":"Zhaolin","family":"Jiang","sequence":"first","affiliation":[{"name":"Department of Mathematics, Linyi University, Linyi, Shandong 276000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nuo","family":"Shen","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Linyi University, Linyi, Shandong 276000, China"},{"name":"Department of Mathematics, Shandong Normal University, Ji\u2019nan, Shandong 250000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1046-571X","authenticated-orcid":true,"given":"Juan","family":"Li","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Linyi University, Linyi, Shandong 276000, China"},{"name":"Department of Mathematics, Shandong Normal University, Ji\u2019nan, Shandong 250000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1109\/TBME.2009.2013820"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compmedimag.2007.09.004"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.10522"},{"year":"1979","key":"5","first-page":"xv+250"},{"year":"1999","key":"6"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(93)00167-X"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1007\/BF02936555"},{"issue":"2","key":"9","first-page":"167","volume":"28","year":"2013","journal-title":"JP Journal of Algebra, Number Theory and Applications"},{"issue":"1","key":"11","first-page":"1","volume":"52","year":"2011","journal-title":"Far East Journal of Applied Mathematics"},{"key":"12","first-page":"42","volume":"12","year":"2013","journal-title":"WSEAS Transactions on Mathematics"},{"key":"13","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1080\/00150517.1969.12431161","volume":"7","year":"1969","journal-title":"The Fibonacci Quarterly"},{"issue":"3","key":"14","doi-asserted-by":"crossref","first-page":"280","DOI":"10.1080\/00150517.2002.12428658","volume":"40","year":"2002","journal-title":"The Fibonacci Quarterly"},{"issue":"5","key":"15","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1080\/00150517.1970.12431045","volume":"8","year":"1970","journal-title":"The Fibonacci Quarterly"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2011.04.072"},{"issue":"2","key":"17","first-page":"89","volume":"37","year":"2008","journal-title":"Hacettepe Journal of Mathematics and Statistics"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.jnt.2011.02.002"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.cpc.2009.11.007"},{"issue":"3","key":"20","first-page":"1","volume":"15","year":"2012","journal-title":"Journal of Integer Sequences"},{"issue":"2","key":"21","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1080\/00150517.2001.12428739","volume":"39","year":"2001","journal-title":"The Fibonacci Quarterly"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/585438.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/585438.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/585438.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,1]],"date-time":"2025-05-01T18:14:21Z","timestamp":1746123261000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/585438\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":19,"alternative-id":["585438","585438"],"URL":"https:\/\/doi.org\/10.1155\/2014\/585438","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}