{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:48Z","timestamp":1753893828635,"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>We give asymptotic expressions for the number of words containing a given  number of occurrences of a pattern for two families of patterns with two  parameters each.  One is the family of classical patterns in the form  $22\\cdots 212 \\cdots 22$ and the other is a family of partially ordered  patterns.  The asymptotic expressions are in terms of the number of solutions  to an equation, and for one subfamily this quantity is the number of integer  partitions into $q$th order binomial coefficients.<\/jats:p>","DOI":"10.37236\/630","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T03:44:11Z","timestamp":1578714251000},"source":"Crossref","is-referenced-by-count":0,"title":["Counting Words by Number of Occurrences of Some Patterns"],"prefix":"10.37236","volume":"18","author":[{"given":"Zhicheng","family":"Gao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andrew","family":"MacFie","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Daniel","family":"Panario","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2011,7,15]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p143\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p143\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:08:14Z","timestamp":1579302494000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v18i1p143"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,7,15]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2011,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/630","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2011,7,15]]},"article-number":"P143"}}