{
  "id": "1609.03964",
  "version": "v1",
  "published": "2016-09-13T18:26:01.000Z",
  "updated": "2016-09-13T18:26:01.000Z",
  "title": "Tiling n X m rectangles with 1 X 1 and s X s squares",
  "authors": [
    "Richard J. Mathar"
  ],
  "comment": "21 Pages plus Java program in the anc subdirectory",
  "categories": [
    "math.CO"
  ],
  "abstract": "We consider tilings of a rectangle which is n units wide and m units long by non-overlapping 1 X 1 squares and s X s squares. Bivariate generating functions are computed with the Transfer Matrix Method for moderately large but fixed widths n as a function of the parameter m and of the number of s X s squares in the rectangle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-13T18:26:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C20",
      "05B45"
    ],
    "keywords": [
      "transfer matrix method",
      "units wide",
      "units long",
      "bivariate generating functions",
      "moderately large"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}