{
  "id": "1306.3193",
  "version": "v2",
  "published": "2013-06-13T18:46:45.000Z",
  "updated": "2022-09-02T20:56:17.000Z",
  "title": "Permutations avoiding 4321 and 3241 have an algebraic generating function",
  "authors": [
    "David Callan"
  ],
  "comment": "12 pages, 6 figures, to appear, Discrete Mathematics & Theoretical Computer Science (DMTCS)",
  "categories": [
    "math.CO"
  ],
  "abstract": "We show that permutations avoiding both of the (classical) patterns 4321 and 3241 have the algebraic generating function conjectured by Vladimir Kruchinin.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-13T18:46:45.000Z",
      "comment": "12 pages, 6 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2022-09-02T20:56:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15"
    ],
    "keywords": [
      "permutations avoiding",
      "vladimir kruchinin",
      "algebraic generating function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.3193C"
    }
  }
}