{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:10Z","timestamp":1753893850685,"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>If $\\vec{\\lambda}$ is a composition of the positive integer $n$, define ${\\bf B}(\\vec{\\lambda})$ to be the product of the parts of $\\vec{\\lambda}$.  We present a modified version of Hitczenko's stopped sequence construction that leads to a proof of the asymptotic lognormality of ${\\bf B}$ for random 1-free compositions (compositions containing no parts of size 1). <\/jats:p>","DOI":"10.37236\/722","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T03:39:01Z","timestamp":1578713941000},"source":"Crossref","is-referenced-by-count":1,"title":["Part-Products of 1-Free Integer Compositions"],"prefix":"10.37236","volume":"18","author":[{"given":"Caroline","family":"Shapcott","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2011,12,19]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p235\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p235\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T22:58:14Z","timestamp":1579301894000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v18i1p235"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,12,19]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2011,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/722","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2011,12,19]]},"article-number":"P235"}}