{ "id": "1506.07256", "version": "v1", "published": "2015-06-24T06:42:14.000Z", "updated": "2015-06-24T06:42:14.000Z", "title": "Enumeration of standard Young tableaux of shifted strips with constant width", "authors": [ "Ping Sun" ], "comment": "12 pages", "categories": [ "math.CO" ], "abstract": "Let $g_{n_1,n_2}$ be the number of standard Young tableau of truncated shifted shape with $n_1$ rows and $n_2$ boxes in each row. By using of the integral method this paper derives the recurrence relations of $g_{3,n}$, $g_{n,4}$ and $g_{n,5}$ respectively. Specially, $g_{n,4}$ is the $(2n-1)$-st Pell number.", "revisions": [ { "version": "v1", "updated": "2015-06-24T06:42:14.000Z" } ], "analyses": { "keywords": [ "standard young tableaux", "constant width", "shifted strips", "enumeration", "st pell number" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }