{ "id": "1901.03736", "version": "v1", "published": "2019-01-11T20:28:13.000Z", "updated": "2019-01-11T20:28:13.000Z", "title": "Special Matrices Associated with Generalized Fibonacci Numbers", "authors": [ "Gamaliel Cerda-Morales" ], "categories": [ "math.CO" ], "abstract": "In \\cite{Ka}, the authors obtained a method for deriving special matrices, whose powers are related to Fibonacci and Lucas numbers. In the study, it has been developed a method for deriving special matrices of $3\\times 3$ dimensions, whose powers are related to Horadam and generalized Fibonacci numbers, and some special matrices have been found via the method developed.", "revisions": [ { "version": "v1", "updated": "2019-01-11T20:28:13.000Z" } ], "analyses": { "subjects": [ "11B37", "11B39", "15A15" ], "keywords": [ "generalized fibonacci numbers", "deriving special matrices", "lucas numbers", "dimensions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }