{
  "id": "1904.05492",
  "version": "v1",
  "published": "2019-04-11T01:06:39.000Z",
  "updated": "2019-04-11T01:06:39.000Z",
  "title": "New Identities for Padovan Numbers",
  "authors": [
    "Gamaliel Cerda-Morales"
  ],
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "In \\cite{Choi-Jo}, the $am+b$ ($0\\leq b<a$) subscripted Tribonacci numbers are studied. This work is devoted to study a new generalization of Fibonacci numbers called Padovan numbers. In particular, the $am+b$ subscripted Padovan numbers will be expressed by three $a$ step apart Padovan numbers for any $0\\leq b<a$, where $a\\in \\mathbb{Z}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-11T01:06:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B37",
      "11B39",
      "15A36"
    ],
    "keywords": [
      "identities",
      "step apart padovan numbers",
      "subscripted padovan numbers",
      "subscripted tribonacci numbers",
      "fibonacci numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}