{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:42Z","timestamp":1753893822774,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Recently, Do\u0161li\u0107, and Liu and Wang developed techniques for dealing with the log-convexity of sequences. In this paper, we present a criterion for the log-convexity of some combinatorial sequences.\u00a0In order to prove the log-convexity\u00a0of a sequence satisfying a three-term recurrence, by our method, it suffices to compute a constant number of terms at the beginning of the sequence. For example, in order to prove the log-convexity of the Ap\u00e9ry\u00a0numbers $A_n$, by our method, we just need to evaluate the values\u00a0of $A_n$ for $0\\leq n \\leq 6$. As applications, we prove the\u00a0log-convexity of some famous sequences including the Catalan-Larcombe-French numbers.\u00a0This confirms a conjecture given by Sun.<\/jats:p>","DOI":"10.37236\/3412","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T01:21:20Z","timestamp":1578705680000},"source":"Crossref","is-referenced-by-count":5,"title":["A Criterion for the Log-Convexity of Combinatorial Sequences"],"prefix":"10.37236","volume":"20","author":[{"given":"Ernest X.W.","family":"Xia","sequence":"first","affiliation":[]},{"given":"Olivia X.M.","family":"Yao","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2013,10,14]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i4p3\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i4p3\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T11:12:08Z","timestamp":1579259528000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v20i4p3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,10,14]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2013,10,14]]}},"URL":"https:\/\/doi.org\/10.37236\/3412","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2013,10,14]]},"article-number":"P3"}}