{
  "id": "math/0401216",
  "version": "v1",
  "published": "2004-01-18T04:28:50.000Z",
  "updated": "2004-01-18T04:28:50.000Z",
  "title": "A combinatorial proof of Sun's \"curious\" identity",
  "authors": [
    "David Callan"
  ],
  "comment": "Latex, 7 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "A binomial coefficient identity due to Zhi-Wei Sun is the subject of half a dozen recent papers that prove it by various analytic techniques and establish a generalization. Here we give a simple proof that uses weight-reversing involutions on suitable configurations involving dominos and colorings. With somewhat more work, the method extends to the generalization also.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-01-18T04:28:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A19"
    ],
    "keywords": [
      "combinatorial proof",
      "binomial coefficient identity",
      "method extends",
      "analytic techniques",
      "generalization"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......1216C"
    }
  }
}