{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:36Z","timestamp":1753893816918,"version":"3.41.2"},"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>We provide two combinatorial proofs that linear recurrences with constant coefficients have a closed form based on the roots of its characteristic equation.  The proofs employ sign-reversing involutions on weighted tilings.<\/jats:p>","DOI":"10.37236\/2008","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T03:37:44Z","timestamp":1578713864000},"source":"Crossref","is-referenced-by-count":3,"title":["The Combinatorialization of Linear Recurrences"],"prefix":"10.37236","volume":"18","author":[{"given":"Arthur T.","family":"Benjamin","sequence":"first","affiliation":[]},{"given":"Halcyon","family":"Derks","sequence":"additional","affiliation":[]},{"given":"Jennifer J.","family":"Quinn","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2011,6,11]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i2p12\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i2p12\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:11:08Z","timestamp":1579302668000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v18i2p12"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,6,11]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2011,1,2]]}},"URL":"https:\/\/doi.org\/10.37236\/2008","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2011,6,11]]},"article-number":"P12"}}