{
  "id": "1003.4569",
  "version": "v1",
  "published": "2010-03-24T01:41:12.000Z",
  "updated": "2010-03-24T01:41:12.000Z",
  "title": "Counting all cubes in {0,1,...,n}^3",
  "authors": [
    "Eugen J. Ionascu",
    "Rodrigo A. Obando"
  ],
  "comment": "24 pages, 5 figures",
  "categories": [
    "math.NT",
    "math.RA"
  ],
  "abstract": "In this paper we describe a procedure of calculating the number cubes that have coordinates in the set {0,1,...,n}. We adapt the code that appeared in [11] developed to calculate the number of regular tetrahedra with coordinates in the set {0,1,...,n}. The idea is based on the theoretical results obtained in [13]. We extend then the sequence A098928 in the Online Encyclopedia of Integer Sequences to the first one hundred terms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-24T01:41:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D09"
    ],
    "keywords": [
      "regular tetrahedra",
      "number cubes",
      "coordinates",
      "sequence a098928",
      "online encyclopedia"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.4569I"
    }
  }
}