{
  "id": "2202.04649",
  "version": "v1",
  "published": "2022-02-09T16:41:28.000Z",
  "updated": "2022-02-09T16:41:28.000Z",
  "title": "A bijection for Delannoy paths",
  "authors": [
    "David Callan"
  ],
  "comment": "4 pages, 2 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "We exhibit a bijection between central Delannoy $n$-paths, that is, lattice paths from the origin to $(n,n)$ with steps $E=(1,0), \\,N=(0,1),\\,D=(1,1)$ and the lattice paths from the origin to $(n+1,n)$ where the only restriction on the steps is that they have finite nonnegative slope.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-09T16:41:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15"
    ],
    "keywords": [
      "delannoy paths",
      "lattice paths",
      "central delannoy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}