{ "id": "2006.13842", "version": "v1", "published": "2020-06-24T16:12:52.000Z", "updated": "2020-06-24T16:12:52.000Z", "title": "Bijections for restricted inversion sequences and permutations with fixed points", "authors": [ "Sergi Elizalde" ], "categories": [ "math.CO" ], "abstract": "We provide a bijective proof of a formula of Auli and the author expressing the number of inversion sequences with no three consecutive equal entries in terms of the number of non-derangements, that is, permutations with fixed points. Additionally, we give bijective proofs of two simple recurrences for the number of non-derangements.", "revisions": [ { "version": "v1", "updated": "2020-06-24T16:12:52.000Z" } ], "analyses": { "subjects": [ "05A05", "05A19" ], "keywords": [ "restricted inversion sequences", "fixed points", "permutations", "bijections", "bijective proof" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }