{
  "id": "2009.05744",
  "version": "v1",
  "published": "2020-09-12T08:13:04.000Z",
  "updated": "2020-09-12T08:13:04.000Z",
  "title": "Decomposition of the Catalan number into the sum of squares",
  "authors": [
    "Gennady Eremin"
  ],
  "comment": "7 pages, 6 figures",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "Analysis of the dynamics of the Dyck words helped solve the problem of representing the Catalan number as a sum of squares of natural numbers. In this case, the Dyck triangle is considered in different coordinates. In the calculations, we use the Catalan convolution matrix.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-12T08:13:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "catalan number",
      "decomposition",
      "catalan convolution matrix",
      "natural numbers",
      "dyck triangle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}