{
  "id": "2011.14628",
  "version": "v1",
  "published": "2020-11-30T09:07:38.000Z",
  "updated": "2020-11-30T09:07:38.000Z",
  "title": "Catalan triangle and tied arc diagrams",
  "authors": [
    "Francesca Aicardi"
  ],
  "comment": "16 pages, 11 Figures",
  "categories": [
    "math.CO",
    "math.GN"
  ],
  "abstract": "A Catalan triangle and a Fuss-Catalan triangle are defined recursively. Their rows sum to the Catalan numbers and to Fuss-Catalan numbers $A_n(4,1)$. The properties of these triangles are proved by using arc diagrams and tied arc diagrams.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-30T09:07:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A10",
      "05A19"
    ],
    "keywords": [
      "tied arc diagrams",
      "fuss-catalan triangle",
      "fuss-catalan numbers",
      "rows sum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}