{ "id": "1410.4109", "version": "v1", "published": "2014-10-15T15:58:36.000Z", "updated": "2014-10-15T15:58:36.000Z", "title": "Recurrence relations in counting the pattern 13-2 in flattened permutations", "authors": [ "Toufik Mansour", "David G. L. Wang" ], "comment": "18 pages", "doi": "10.1080/10236198.2014.977273", "categories": [ "math.CO" ], "abstract": "We prove that the generating function for the number of flattened permutations having a given number of occurrences of the pattern 13-2 is rational, by using the recurrence relations and the kernel method.", "revisions": [ { "version": "v1", "updated": "2014-10-15T15:58:36.000Z" } ], "analyses": { "subjects": [ "05A05", "05A15" ], "keywords": [ "recurrence relations", "flattened permutations", "kernel method", "occurrences" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1410.4109M" } } }