{
  "id": "0803.2126",
  "version": "v1",
  "published": "2008-03-14T10:35:23.000Z",
  "updated": "2008-03-14T10:35:23.000Z",
  "title": "The signed Eulerian numbers on involutions",
  "authors": [
    "M. Barnabei",
    "F. Bonetti",
    "M. Silimbani"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We define an analogue of signed Eulerian numbers $f_{n,k}$ for involutions of the symmetric group and derive some combinatorial properties of this sequence. In particular, we exhibit both an explicit formula and a recurrence for $f_{n,k}$ arising from the properties of its generating function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-14T10:35:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A05",
      "05A15",
      "05A19",
      "05E10"
    ],
    "keywords": [
      "signed eulerian numbers",
      "involutions",
      "symmetric group",
      "combinatorial properties",
      "explicit formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.2126B"
    }
  }
}