{
  "id": "0912.1062",
  "version": "v1",
  "published": "2009-12-05T23:48:11.000Z",
  "updated": "2009-12-05T23:48:11.000Z",
  "title": "Counting all regular tetrahedra in {0,1,...,n}^3",
  "authors": [
    "Eugen J. Ionascu"
  ],
  "comment": "21 pages, 6 figures, preprint",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this note we describe a procedure of calculating the number all regular tetrahedra that have coordinates in the set {0,1,...,n}. We develop a few results that may help in finding good estimates for this sequence which is twice A103158 in the Online Encyclopedia of Integer Sequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-05T23:48:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D09"
    ],
    "keywords": [
      "regular tetrahedra",
      "online encyclopedia",
      "twice a103158",
      "integer sequences",
      "coordinates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.1062I"
    }
  }
}