{ "id": "1906.06373", "version": "v1", "published": "2019-06-14T19:16:25.000Z", "updated": "2019-06-14T19:16:25.000Z", "title": "On the halves of a Riordan array and their antecedents", "authors": [ "Paul Barry" ], "comment": "14 pages", "categories": [ "math.CO" ], "abstract": "Every Riordan array has what we call a horizontal half and a vertical half. These halves of a Riordan array have been studied separately before. Here, we place them in a common context, showing that one may be obtained from the other. We also ask and answer the question: given a Riordan array, when is it the half (either horizontal of vertical) of a Riordan array?", "revisions": [ { "version": "v1", "updated": "2019-06-14T19:16:25.000Z" } ], "analyses": { "subjects": [ "15B36", "11B83", "11C20" ], "keywords": [ "riordan array", "antecedents", "horizontal half" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }