{ "id": "1711.06260", "version": "v1", "published": "2017-11-16T06:59:20.000Z", "updated": "2017-11-16T06:59:20.000Z", "title": "On Generalizations of the Pell Sequence", "authors": [ "Fügen Torunbalci Aydin", "Kevser Köklü" ], "categories": [ "math.CO", "math.RA" ], "abstract": "In this paper, we investigate the generalized Pell sequence, the generalized complex Pell sequence and the generalized dual Pell sequence using the Pell numbers. We obtain special cases of these sequences. Furthermore, we give recurrence relations, vectors, the silver ratio and Binet's formula for the above-investigated sequences.", "revisions": [ { "version": "v1", "updated": "2017-11-16T06:59:20.000Z" } ], "analyses": { "keywords": [ "generalizations", "generalized complex pell sequence", "generalized dual pell sequence", "special cases", "binets formula" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }