{
  "id": "1702.06150",
  "version": "v1",
  "published": "2017-02-20T19:21:51.000Z",
  "updated": "2017-02-20T19:21:51.000Z",
  "title": "Bijections for Dyck paths with all peak heights of the same parity",
  "authors": [
    "David Callan"
  ],
  "comment": "4 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We show bijectively that Dyck paths with all peaks at odd height are counted by the Motzkin numbers and Dyck paths with all peaks at even height are counted by the Riordan numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-20T19:21:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05A19"
    ],
    "keywords": [
      "dyck paths",
      "peak heights",
      "bijections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}