{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:59Z","timestamp":1753893839534,"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>Let $a,b$ and $n$ be positive integers with $a&gt;b$. In this note, we prove that $$(2bn+1)(2bn+3){2bn \\choose bn}\\bigg|3(a-b)(3a-b){2an \\choose an}{an\\choose bn}.$$ This confirms a recent conjecture of Amdeberhan and Moll.<\/jats:p>","DOI":"10.37236\/4104","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T00:33:22Z","timestamp":1578702802000},"source":"Crossref","is-referenced-by-count":0,"title":["Proof of a Conjecture of Amdeberhan and Moll on a Divisibility Property of Binomial Coefficients"],"prefix":"10.37236","volume":"22","author":[{"given":"Quan-Hui","family":"Yang","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2015,1,9]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i1p9\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i1p9\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T10:38:50Z","timestamp":1579257530000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v22i1p9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1,9]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2015,1,2]]}},"URL":"https:\/\/doi.org\/10.37236\/4104","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2015,1,9]]},"article-number":"P1.9"}}