{
  "id": "1401.6588",
  "version": "v1",
  "published": "2014-01-25T22:27:33.000Z",
  "updated": "2014-01-25T22:27:33.000Z",
  "title": "Combinatorial proofs of some Bell number formulas",
  "authors": [
    "Mark Shattuck"
  ],
  "comment": "Paper accepted at the Journal of Combinatorial Mathematics and Combinatorial Computing and is to appear in an upcoming issue",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this note, we provide bijective proofs of some identities involving the Bell number, as previously requested. Our arguments may be extended to yield a generalization in terms of complete Bell polynomials. We also provide a further interpretation for a related difference of Catalan numbers in terms of the inclusion-exclusion principle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-25T22:27:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A19",
      "05A18"
    ],
    "keywords": [
      "bell number formulas",
      "combinatorial proofs",
      "complete bell polynomials",
      "catalan numbers",
      "inclusion-exclusion principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.6588S"
    }
  }
}