{
  "id": "2109.03534",
  "version": "v1",
  "published": "2021-09-08T10:34:06.000Z",
  "updated": "2021-09-08T10:34:06.000Z",
  "title": "Partial sums of the Gibonacci sequence",
  "authors": [
    "Pankaj Jyoti Mahanta"
  ],
  "comment": "6 pages, 1 figure",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "Recently, Chu studied some properties of the partial sums of the sequence $P^k(F_n)$, where $P(F_n)=\\big(\\sum_{i=1}^nF_i\\big)_{n\\geq1}$ and $(F_n)_{n\\geq1}$ is the Fibonacci sequence, and gave its combinatorial interpretation. We generalize those results, introduce colored Schreier sets, and give another equivalent combinatorial interpretation by means of lattice path.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-08T10:34:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B39",
      "05A19"
    ],
    "keywords": [
      "partial sums",
      "gibonacci sequence",
      "equivalent combinatorial interpretation",
      "fibonacci sequence",
      "lattice path"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}