{
  "id": "1002.4504",
  "version": "v1",
  "published": "2010-02-24T09:55:43.000Z",
  "updated": "2010-02-24T09:55:43.000Z",
  "title": "Humps for Dyck and for Motzkin paths",
  "authors": [
    "A. Regev"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We calculate the total number of humps in Dyck and in Motzkin paths, and we give Standard-Young-Tableaux-interpretations of the numbers involved. One then observes the intriguing phenomena that the humps-calculations change the partitions in a strip to partitions in a hook.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-24T09:55:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C30"
    ],
    "keywords": [
      "motzkin paths",
      "total number",
      "humps-calculations change",
      "partitions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.4504R"
    }
  }
}