{ "id": "1503.02151", "version": "v1", "published": "2015-03-07T09:44:14.000Z", "updated": "2015-03-07T09:44:14.000Z", "title": "Log-concavity of the Fennessey-Larcombe-French Sequence", "authors": [ "Arthur L. B. Yang", "James J. Y. Zhao" ], "comment": "7 pages", "categories": [ "math.CO" ], "abstract": "We prove the log-concavity of the Fennessey-Larcombe-French sequence based on its three-term recurrence relation, which was recently conjectured by Zhao. The key ingredient of our approach is a sufficient condition for log-concavity of a sequence subject to certain three-term recurrence.", "revisions": [ { "version": "v1", "updated": "2015-03-07T09:44:14.000Z" } ], "analyses": { "subjects": [ "05A20" ], "keywords": [ "fennessey-larcombe-french sequence", "log-concavity", "three-term recurrence relation", "sufficient condition" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }