{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,23]],"date-time":"2026-04-23T17:35:13Z","timestamp":1776965713649,"version":"3.51.4"},"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>The repetition threshold of a class of sequences is the smallest number $r$ such that a~sequence from the class contains no repetition with exponent $&gt; r$. We focus on the class~$\\mathcal{C}_d$ of $d$-ary sequences rich in palindromes. In 2020, Currie, Mol, and Rampersad determined the repetition threshold for $\\mathcal{C}_2$. In 2024, Currie, Mol and Peltom\u00e4ki found the repetition threshold for $\\mathcal{C}_3$ and conjectured that the repetition threshold for $\\mathcal{C}_d$ tends to~2 with $d$ growing to infinity. Here we verify their conjecture.<\/jats:p>","DOI":"10.37236\/14600","type":"journal-article","created":{"date-parts":[[2026,4,23]],"date-time":"2026-04-23T16:38:35Z","timestamp":1776962315000},"source":"Crossref","is-referenced-by-count":0,"title":["The Limit of Repetition Thresholds of Rich Sequences"],"prefix":"10.37236","volume":"33","author":[{"given":"Lubom\u00edra","family":"Dvo\u0159\u00e1kov\u00e1","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Edita","family":"Pelantov\u00e1","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2026,4,24]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v33i2p15\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v33i2p15\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,23]],"date-time":"2026-04-23T16:38:35Z","timestamp":1776962315000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v33i2p15"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,4,24]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2026,4,14]]}},"URL":"https:\/\/doi.org\/10.37236\/14600","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,4,24]]},"article-number":"P2.15"}}