{
  "id": "2104.01731",
  "version": "v1",
  "published": "2021-04-05T00:50:12.000Z",
  "updated": "2021-04-05T00:50:12.000Z",
  "title": "Some Deep and Original Questions about the \"critical exponents\" of Generalized Ballot Sequences",
  "authors": [
    "Shalosh B. Ekhad",
    "Doron Zeilberger"
  ],
  "comment": "9 pages; Accompanied by a Maple package and output files available from https://sites.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/capone.html",
  "categories": [
    "math.CO",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We numerically estimate the critical exponents of certain enumeration sequences that naturally generalize the famous Catalan and super-Catalan sequences, and raise deep and original questions about their exact values, and whether they are rational numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-05T00:50:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized ballot sequences",
      "original questions",
      "critical exponents",
      "enumeration sequences",
      "super-catalan sequences"
    ],
    "tags": [
      "research tool"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}