{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T07:46:47Z","timestamp":1772351207412,"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>We introduce a new statistic on linear and circular $r$-mino arrangements which leads to interesting polynomial generalizations of the $r$-Fibonacci and $r$-Lucas sequences. By studying special values of these polynomials, we derive periodicity and parity theorems for this statistic.<\/jats:p>","DOI":"10.37236\/1068","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T05:00:43Z","timestamp":1578718843000},"source":"Crossref","is-referenced-by-count":6,"title":["A New Statistic on Linear and Circular $r$-Mino Arrangements"],"prefix":"10.37236","volume":"13","author":[{"given":"Mark A.","family":"Shattuck","sequence":"first","affiliation":[]},{"given":"Carl G.","family":"Wagner","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2006,4,28]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1r42\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1r42\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T04:11:18Z","timestamp":1579320678000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v13i1r42"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,4,28]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2006,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/1068","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,4,28]]},"article-number":"R42"}}