{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:41Z","timestamp":1753893821195,"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>Wilf's Sixth Unsolved Problem asks for any interesting properties of the set of partitions of integers for which the (nonzero) multiplicities of the parts are all different.\u00a0 We refer to these as Wilf partitions.\u00a0 Using $f(n)$ to denote the number of Wilf partitions, we establish lead-order asymptotics for $\\ln{f(n)}$.\u00a0<\/jats:p>","DOI":"10.37236\/2128","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T22:29:04Z","timestamp":1578695344000},"source":"Crossref","is-referenced-by-count":0,"title":["Partitions with Distinct Multiplicities of Parts: On An \"Unsolved Problem\" Posed By Herbert Wilf"],"prefix":"10.37236","volume":"19","author":[{"given":"James Allen","family":"Fill","sequence":"first","affiliation":[]},{"given":"Svante","family":"Janson","sequence":"additional","affiliation":[]},{"given":"Mark Daniel","family":"Ward","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2012,5,21]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i2p18\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i2p18\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T17:36:03Z","timestamp":1579282563000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v19i2p18"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,5,21]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2012,4,7]]}},"URL":"https:\/\/doi.org\/10.37236\/2128","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2012,5,21]]},"article-number":"P18"}}