{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T11:34:21Z","timestamp":1771673661517,"version":"3.50.1"},"reference-count":0,"publisher":"Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["NNTDM"],"published-print":{"date-parts":[[2021,12]]},"abstract":"<jats:p>In this short note we propose two determinantal representations for the number of subsequences without isolated odd terms are presented. One is based on a tridiagonal matrix and other on a Hessenberg matrix. We also establish a new explicit formula for the terms of this sequence based on Chebyshev polynomials of the second kind.<\/jats:p>","DOI":"10.7546\/nntdm.2021.27.4.116-121","type":"journal-article","created":{"date-parts":[[2021,12,8]],"date-time":"2021-12-08T14:26:34Z","timestamp":1638973594000},"page":"116-121","source":"Crossref","is-referenced-by-count":3,"title":["Determinantal representations for the number of subsequences without isolated odd terms"],"prefix":"10.7546","volume":"27","author":[{"name":"Department of Mathematics, Kuwait University","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3348-1141","authenticated-orcid":false,"given":"Milica","family":"An\u0111elic","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7742-4416","authenticated-orcid":false,"given":"Carlos M.","family":"da Fonseca","sequence":"additional","affiliation":[]},{"name":"Kuwait College of Science and Technology","sequence":"additional","affiliation":[]},{"name":"Chair of Computational Mathematics, University of Deusto","sequence":"additional","affiliation":[]}],"member":"4381","published-online":{"date-parts":[[2021,12]]},"container-title":["Notes on Number Theory and Discrete Mathematics"],"original-title":[],"deposited":{"date-parts":[[2021,12,8]],"date-time":"2021-12-08T14:26:40Z","timestamp":1638973600000},"score":1,"resource":{"primary":{"URL":"https:\/\/nntdm.net\/volume-27-2021\/number-4\/116-121\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,12]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2021,12]]},"published-print":{"date-parts":[[2021,12]]}},"URL":"https:\/\/doi.org\/10.7546\/nntdm.2021.27.4.116-121","relation":{},"ISSN":["1310-5132","2367-8275"],"issn-type":[{"value":"1310-5132","type":"print"},{"value":"2367-8275","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,12]]}}}