{
  "id": "1904.09916",
  "version": "v1",
  "published": "2019-04-13T23:36:28.000Z",
  "updated": "2019-04-13T23:36:28.000Z",
  "title": "Partial sums and generating functions of products of Horadam numbers with indices in arithmetic progression",
  "authors": [
    "Kunle Adegoke"
  ],
  "comment": "8 pages, no figures, no tables",
  "categories": [
    "math.CO"
  ],
  "abstract": "The sums $\\sum_{j = 0}^k {w_{rj + s} u_{mj + n} z^j }$, $\\sum_{j = 0}^k {w_{rj + s} v_{mj + n} z^j }$ and $\\sum_{j = 0}^k {w_{rj + s} w_{mj + n} z^j }$ are evaluated; where $r$, $s$, $k$, $m$ and $n$ are arbitrary integers, $z$ is arbitrary, $(w_i)$ is the Horadam sequence; and $(u_i)$ and $(v_i)$ are the Lucas sequences of the first kind, and of the second kind, respectively.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-13T23:36:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B39",
      "11B37"
    ],
    "keywords": [
      "partial sums",
      "horadam numbers",
      "arithmetic progression",
      "generating functions",
      "second kind"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}