{ "id": "1706.01167", "version": "v1", "published": "2017-06-05T00:01:43.000Z", "updated": "2017-06-05T00:01:43.000Z", "title": "On the properties of new families of generalized Fibonacci numbers", "authors": [ "Gamaliel Cerda" ], "categories": [ "math.CO" ], "abstract": "In this paper, new families of generalized Fibonacci and Lucas numbers are introduced. In addition, we present the recurrence relations and the generating functions of the new families for $k=2$.", "revisions": [ { "version": "v1", "updated": "2017-06-05T00:01:43.000Z" } ], "analyses": { "subjects": [ "11B37", "11B50", "05A15" ], "keywords": [ "generalized fibonacci numbers", "properties", "lucas numbers", "recurrence relations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }