{
  "id": "1004.3970",
  "version": "v1",
  "published": "2010-04-22T17:53:14.000Z",
  "updated": "2010-04-22T17:53:14.000Z",
  "title": "On Number of Compositions of Natural Numbers",
  "authors": [
    "Milan Janjic"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We first give a combinatorial interpretation of coefficients of Chebyshev polynomials, which allows us to connect them with compositions of natural numbers. Then we describe a relationship between the number of compositions of a natural number in which a certain number of parts are p-1, and other parts are not less than p with compositions in which all parts are not less than p. Then we find a relationship between principal minors of a type of Hessenberg matrices and compositions of natural numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-04-22T17:53:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "natural number",
      "compositions",
      "combinatorial interpretation",
      "chebyshev polynomials",
      "relationship"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.3970J"
    }
  }
}