{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:14Z","timestamp":1753893854828,"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 show that the $n$'th diagonal sum of Barry's modified Pascal triangle can be described as the continuant of the run lengths of the binary representation of $n$.\u00a0 We also obtain an explicit description for the row sums.<\/jats:p>","DOI":"10.37236\/7399","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T06:18:50Z","timestamp":1578637130000},"source":"Crossref","is-referenced-by-count":0,"title":["Continuants, Run Lengths, and Barry's Modified Pascal Triangle"],"prefix":"10.37236","volume":"26","author":[{"given":"Lukas","family":"Spiegelhofer","sequence":"first","affiliation":[]},{"given":"Jeffrey","family":"Shallit","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2019,3,8]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i1p32\/7789","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i1p32\/7789","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:17:48Z","timestamp":1579234668000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v26i1p32"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,3,8]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2019,1,11]]}},"URL":"https:\/\/doi.org\/10.37236\/7399","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2019,3,8]]},"article-number":"P1.31"}}