{
  "id": "math/0702638",
  "version": "v1",
  "published": "2007-02-22T09:20:45.000Z",
  "updated": "2007-02-22T09:20:45.000Z",
  "title": "Production matrices and Riordan arrays",
  "authors": [
    "Emeric Deutsch",
    "Luca Ferrari",
    "Simone Rinaldi"
  ],
  "comment": "accepted for publication on Annals of Combinatorics",
  "categories": [
    "math.CO"
  ],
  "abstract": "We translate the concept of succession rule and the ECO method into matrix notation, introducing the concept of a production matrix. This allows us to combine our method with other enumeration techniques using matrices, such as the method of Riordan matrices. Finally we treat the case of rational production matrices, i.e. those leading to rational generating functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-22T09:20:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05C38"
    ],
    "keywords": [
      "riordan arrays",
      "rational production matrices",
      "matrix notation",
      "succession rule",
      "eco method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2638D"
    }
  }
}