{ "id": "0708.2347", "version": "v1", "published": "2007-08-17T11:27:12.000Z", "updated": "2007-08-17T11:27:12.000Z", "title": "Sums of products of generalized Fibonacci and Lucas numbers", "authors": [ "Hacene Belbachir", "Farid Bencherif" ], "categories": [ "math.NT", "math.CO" ], "abstract": "In this paper, we establish several formulae for sums and alternating sums of products of generalized Fibonacci and Lucas numbers. In particular, we recover and extend all results of Z. Cerin and Z. Cerin & G. M. Gianella, more easily.", "revisions": [ { "version": "v1", "updated": "2007-08-17T11:27:12.000Z" } ], "analyses": { "subjects": [ "11B39", "11Y55" ], "keywords": [ "lucas numbers", "generalized fibonacci", "alternating sums" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0708.2347B" } } }