{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:12Z","timestamp":1753893852852,"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 study three dimensional array of numbers $B(n,k,j)$, $0\\le j,k\\le n$, where $B(n,k,j)$ is the number of type $B$ permutations of order $n$ with $k$ descents and $j$ minus signs. We prove in particular, that $b(n,k,j):=B(n,k,j)\/\\binom{n}{j}$ is an integer and provide two combinatorial interpretations for these numbers.<\/jats:p>","DOI":"10.37236\/7306","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T07:15:39Z","timestamp":1578640539000},"source":"Crossref","is-referenced-by-count":0,"title":["Permutations of Type $B$ with Fixed Number of Descents and Minus Signs"],"prefix":"10.37236","volume":"26","author":[{"given":"Katarzyna","family":"Kril","sequence":"first","affiliation":[]},{"given":"Wojciech","family":"M\u0142otkowski","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2019,2,22]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i1p27\/7786","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i1p27\/7786","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:18:12Z","timestamp":1579234692000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v26i1p27"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,2,22]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2019,1,11]]}},"URL":"https:\/\/doi.org\/10.37236\/7306","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2019,2,22]]},"article-number":"P1.27"}}