{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:42:59Z","timestamp":1753893779672,"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>It is proved that the number of permutations of the set $\\{1, 2,  \\dots, n\\}$ that avoid three term arithmetic progressions is at most ${(2.7)^n} \\over 21$ for $n \\ge 11$ and at each end of any such permutation, at least ${\\lfloor {n \\over 2} \\rfloor} - 6$ entries have the same parity.<\/jats:p>","DOI":"10.37236\/152","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:31:30Z","timestamp":1578717090000},"source":"Crossref","is-referenced-by-count":6,"title":["Enumerating Permutations that Avoid Three Term Arithmetic Progressions"],"prefix":"10.37236","volume":"16","author":[{"given":"Arun","family":"Sharma","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2009,5,15]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v16i1r63\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v16i1r63\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T02:55:13Z","timestamp":1579316113000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v16i1r63"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,5,15]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2009,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/152","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2009,5,15]]},"article-number":"R63"}}