{
  "id": "2409.14788",
  "version": "v1",
  "published": "2024-09-23T08:01:41.000Z",
  "updated": "2024-09-23T08:01:41.000Z",
  "title": "The Frobenius number for the triple of the 2-step star numbers",
  "authors": [
    "Takao Komatsu",
    "Ritika Goel",
    "Neha Gupta"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper, we give closed form expressions of the Frobenius number for the triple of the $2$-step star numbers $an(n-2) + 1$ for an integer $a \\geq 4$. These numbers have been studied from different aspects for some $a$'s. These numbers can also be considered as variations of the well known star numbers of the form $6n(n-1) + 1$. We also give closed form expressions of the Sylvester number (genus) for the triple of the $2$-step star numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-23T08:01:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "frobenius number",
      "step star numbers",
      "closed form expressions",
      "sylvester number",
      "variations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}