{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:54Z","timestamp":1753893834947,"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>For a sum of the form $\\sum_k F({\\boldsymbol n},k)G({\\boldsymbol n},k)$, we set up two systems of equations involving shifts of $F({\\boldsymbol n},k)$ and $G({\\boldsymbol n},k)$. Then we solve the systems by utilizing the recursion of $F({\\boldsymbol n},k)$ and the method of undetermined coefficients. From the solutions, we derive linear recurrence relations for the sum. With this method, we prove many identities involving Bernoulli numbers and Stirling numbers.<\/jats:p>","DOI":"10.37236\/657","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T03:42:54Z","timestamp":1578714174000},"source":"Crossref","is-referenced-by-count":1,"title":["Linear Recurrence Relations for Sums of Products of Two Terms"],"prefix":"10.37236","volume":"18","author":[{"given":"Yan-Ping","family":"Mu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2011,8,26]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p170\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p170\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:06:50Z","timestamp":1579302410000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v18i1p170"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,8,26]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2011,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/657","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2011,8,26]]},"article-number":"P170"}}