{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:39Z","timestamp":1753893819922,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>In this paper, we give the sufficient conditions for the positivity of recurrence sequences defined by $$a_nu_{n}=b_nu_{n-1}-c_nu_{n-2}$$ for $n\\geqslant 2$, where $a_n,b_n,c_n$ are all nonnegative and linear in $n$. As applications, we show the positivity of many famous combinatorial sequences.<\/jats:p>","DOI":"10.37236\/329","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:14:27Z","timestamp":1578716067000},"source":"Crossref","is-referenced-by-count":3,"title":["Positivity of Three-Term Recurrence Sequences"],"prefix":"10.37236","volume":"17","author":[{"given":"Lily L.","family":"Liu","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2010,4,5]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r57\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r57\/comment","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r57\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:56:59Z","timestamp":1579305419000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v17i1r57"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,4,5]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2010,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/329","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2010,4,5]]},"article-number":"R57"}}