{ "id": "math/0301157", "version": "v1", "published": "2003-01-15T08:23:51.000Z", "updated": "2003-01-15T08:23:51.000Z", "title": "Generalizations of some identities involving the fibonacci numbers", "authors": [ "Toufik Mansour" ], "comment": "12 pages", "categories": [ "math.CO" ], "abstract": "In this paper we study the sum $$\\sum_{j_1+j_2+...+j_d=n}\\prod_{i=1}^d F_{k\\cdot j_i},$$ where $d\\geq2$ and $k\\geq1$.", "revisions": [ { "version": "v1", "updated": "2003-01-15T08:23:51.000Z" } ], "analyses": { "subjects": [ "11B39", "11B83", "05A15" ], "keywords": [ "fibonacci numbers", "generalizations" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math......1157M" } } }