{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T18:21:24Z","timestamp":1758824484271,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We provide a combinatorial proof for the fact that for any fixed $n$,  the sequence $\\{i(n,k)\\}_{0\\leq k\\leq {n\\choose 2}}$ of the numbers of permutations of length $n$ having $k$ inversions is log-concave.<\/jats:p>","DOI":"10.37236\/1889","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T00:19:30Z","timestamp":1578701970000},"source":"Crossref","is-referenced-by-count":5,"title":["A Combinatorial Proof of the Log-Concavity of a Famous Sequence Counting Permutations"],"prefix":"10.37236","volume":"11","author":[{"given":"Mikl\u00f3s","family":"B\u00f3na","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2005,1,24]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v11i2n2\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v11i2n2\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:51:25Z","timestamp":1579305085000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v11i2n2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,1,24]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2004,6,3]]}},"URL":"https:\/\/doi.org\/10.37236\/1889","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2005,1,24]]},"article-number":"N2"}}