{ "id": "1912.01124", "version": "v1", "published": "2019-12-02T23:19:42.000Z", "updated": "2019-12-02T23:19:42.000Z", "title": "A Note on Riordan Arrays with Catalan Halves", "authors": [ "Paul Barry" ], "comment": "20 pages", "categories": [ "math.CO" ], "abstract": "For a lower triangular matrix $(t_{n,k})$ we call the matrices with respective entries $(t_{2n-k,n})$ and $(t_{2n,n+k})$ the vertical and the horizontal halves. In this note, we discuss Riordan arrays whose halves are closely related to the Catalan matrices.", "revisions": [ { "version": "v1", "updated": "2019-12-02T23:19:42.000Z" } ], "analyses": { "subjects": [ "15B36", "11B83", "11C20" ], "keywords": [ "riordan arrays", "catalan halves", "lower triangular matrix", "horizontal halves" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable" } } }