{ "id": "math/0412015", "version": "v3", "published": "2004-12-01T10:50:35.000Z", "updated": "2004-12-15T14:05:46.000Z", "title": "A note on two identities arising from enumeration of convex polyominoes", "authors": [ "Victor J. W. Guo", "Jiang Zeng" ], "comment": "10 pages, to appear in J. Comput. Appl. Math; minor grammatical changes", "journal": "J. Comput. Appl. Math.180 (2005), 413--423", "doi": "10.1016/j.cam.2004.11.009", "categories": [ "math.CO" ], "abstract": "Motivated by some binomial coefficients identities encountered in our approach to the enumeration of convex polyominoes, we prove some more general identities of the same type, one of which turns out to be related to a strange evaluation of ${}_3F_2$ of Gessel and Stanton.", "revisions": [ { "version": "v3", "updated": "2004-12-15T14:05:46.000Z" } ], "analyses": { "subjects": [ "05A15", "05A19" ], "keywords": [ "convex polyominoes", "identities arising", "enumeration", "binomial coefficients identities", "strange evaluation" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Computational and Applied Mathematics", "year": 2005, "month": "Aug", "volume": 180, "pages": 413 }, "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005JCoAM.180..413G" } } }