{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T08:18:50Z","timestamp":1773735530803,"version":"3.50.1"},"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>Let $f(n)$ denote the number of configurations of $n^2$ mutually non-attacking kings on a $2n\\times 2n$ chessboard. We show that $\\log f(n)$ grows like $2n\\log n - 2n\\log 2$, with an error term of $O(n^{4\/5}\\log n)$.  The result depends on an estimate for the sum of the entries of a high power of a matrix with positive entries.<\/jats:p>","DOI":"10.37236\/1212","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T01:25:44Z","timestamp":1578705944000},"source":"Crossref","is-referenced-by-count":5,"title":["The Problem of Kings"],"prefix":"10.37236","volume":"2","author":[{"given":"Michael","family":"Larsen","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[1995,9,23]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v2i1r18\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v2i1r18\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T06:24:52Z","timestamp":1579328692000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v2i1r18"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,9,23]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[1995,1,1]]}},"URL":"https:\/\/doi.org\/10.37236\/1212","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995,9,23]]},"article-number":"R18"}}