{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:42:50Z","timestamp":1753893770510,"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>Combinatorial classes ${\\cal T}$ that are recursively defined using combinations of the standard multiset, sequence, directed cycle and cycle constructions, and their restrictions, have generating series ${\\bf T}(z)$ with a positive radius of convergence; for most of these a simple test can be used to quickly show that the form of the asymptotics is the same as that for the class of rooted trees: $C \\rho^{-n} n^{-3\/2}$, where $\\rho$ is the radius of convergence of ${\\bf T}$.<\/jats:p>","DOI":"10.37236\/1089","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:59:23Z","timestamp":1578718763000},"source":"Crossref","is-referenced-by-count":10,"title":["Counting Rooted Trees: The Universal Law $t(n)\\,\\sim\\,C \\rho^{-n} n^{-3\/2}$"],"prefix":"10.37236","volume":"13","author":[{"given":"Jason P.","family":"Bell","sequence":"first","affiliation":[]},{"given":"Stanley N.","family":"Burris","sequence":"additional","affiliation":[]},{"given":"Karen A.","family":"Yeats","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2006,8,3]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1r63\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1r63\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T04:10:12Z","timestamp":1579320612000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v13i1r63"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,8,3]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2006,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/1089","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2006,8,3]]},"article-number":"R63"}}