{
  "id": "math/0108043",
  "version": "v1",
  "published": "2001-08-06T17:54:18.000Z",
  "updated": "2001-08-06T17:54:18.000Z",
  "title": "Restricted set of patterns, continued fractions, and Chebyshev polynomials",
  "authors": [
    "T. Mansour"
  ],
  "comment": "9 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We study generating functions for the number of permutations in $S_n$ subject to set of restrictions. One of the restrictions belongs to $S_3$, while the others to $S_k$. It turns out that in a large variety of cases the answer can be expressed via continued fractions, and Chebyshev polynomials of the second kind.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-08-06T17:54:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A05",
      "05A15",
      "30B70",
      "42C05"
    ],
    "keywords": [
      "chebyshev polynomials",
      "continued fractions",
      "restricted set",
      "study generating functions",
      "restrictions belongs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......8043M"
    }
  }
}