{ "id": "2311.02245", "version": "v1", "published": "2023-11-03T21:25:29.000Z", "updated": "2023-11-03T21:25:29.000Z", "title": "Fuss-Catalan numbers and planar partitions", "authors": [ "Francesca Aicardi" ], "comment": "10 pages, 6 figures", "categories": [ "math.CO", "math.GN" ], "abstract": "We show how the Fuss-Catalan numbers $ \\frac{1}{p n+1}\\binom{pn+1}{n}$ enter different problems of counting simple and multiple planar partitions.", "revisions": [ { "version": "v1", "updated": "2023-11-03T21:25:29.000Z" } ], "analyses": { "subjects": [ "05A10", "05A19", "57M50" ], "keywords": [ "fuss-catalan numbers", "multiple planar partitions", "counting simple" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }