{
  "id": "1308.4945",
  "version": "v2",
  "published": "2013-08-22T18:32:02.000Z",
  "updated": "2013-08-26T21:25:31.000Z",
  "title": "Sequences defined by h-vectors",
  "authors": [
    "Thomas Enkosky",
    "Branden Stone"
  ],
  "comment": "10 pages; fixed typos and added reference",
  "categories": [
    "math.CO",
    "math.AC"
  ],
  "abstract": "In this paper we consider the sequence whose n^{th} term is the number of h-vectors of length n. We show that the n^{th} term of this sequence is bounded above by the n^{th} Fibonacci number and bounded below by the number if integer partitions of n into distinct parts. Further we show embedded sequences that directly relate to integer partitions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-08-26T21:25:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integer partitions",
      "distinct parts",
      "fibonacci number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.4945E"
    }
  }
}