{
  "id": "1012.3892",
  "version": "v1",
  "published": "2010-12-17T14:39:33.000Z",
  "updated": "2010-12-17T14:39:33.000Z",
  "title": "Generalized compositions with a fixed number of parts",
  "authors": [
    "Milan Janjic"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We investigate compositions of a positive integer with a fixed number of parts, when there are several types of each natural number. These compositions produce new relationships among binomial coefficients, Catalan numbers, and numbers of the Catalan triangle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-17T14:39:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fixed number",
      "generalized compositions",
      "natural number",
      "catalan triangle",
      "catalan numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.3892J"
    }
  }
}