{
  "id": "2008.09698",
  "version": "v1",
  "published": "2020-08-21T22:11:52.000Z",
  "updated": "2020-08-21T22:11:52.000Z",
  "title": "$k$--Fibonacci numbers with two blocks of repdigits",
  "authors": [
    "Eric F. Bravo",
    "Jhon J. Bravo",
    "Carlos A. Gómez"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "A generalization of the well--known Fibonacci sequence is the $k$--Fibonacci sequence with some fixed integer $k\\ge 2$. The first $k$ terms of this sequence are $0,\\ldots,0,1$, and each term afterwards is the sum of the preceding $k$ terms. In this paper, we find all $k$--Fibonacci numbers that are concatenations of two repdigits. This generalizes prior results which dealt with the above problem for the particular cases of Fibonacci and Tribonacci numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-21T22:11:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B39",
      "11J86"
    ],
    "keywords": [
      "fibonacci numbers",
      "well-known fibonacci sequence",
      "generalizes prior results",
      "tribonacci numbers",
      "concatenations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}