{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T15:10:20Z","timestamp":1774624220395,"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>For any integer $r\\ge2$, define a sequence of numbers $\\{c_k^{(r)}\\}_{k=0,1,\\dots}$, independent of the parameter $n$, by $$ \\sum_{k=0}^n{n\\choose k}^r{n+k\\choose k}^r =\\sum_{k=0}^n{n\\choose k}{n+k\\choose k}c_k^{(r)}, \\qquad n=0,1,2,\\dots. $$ We prove that all the numbers $c_k^{(r)}$ are integers.<\/jats:p>","DOI":"10.37236\/1775","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T05:22:57Z","timestamp":1578720177000},"source":"Crossref","is-referenced-by-count":13,"title":["On a Combinatorial Problem of Asmus Schmidt"],"prefix":"10.37236","volume":"11","author":[{"given":"W.","family":"Zudilin","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2004,3,9]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v11i1r22\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v11i1r22\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T05:04:18Z","timestamp":1579323858000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v11i1r22"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,3,9]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2004,1,2]]}},"URL":"https:\/\/doi.org\/10.37236\/1775","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,3,9]]},"article-number":"R22"}}