{
  "id": "2310.07317",
  "version": "v1",
  "published": "2023-10-11T09:05:47.000Z",
  "updated": "2023-10-11T09:05:47.000Z",
  "title": "Fuss-Catalan Triangles",
  "authors": [
    "Francesca Aicardi"
  ],
  "comment": "6 pages, 2 figures",
  "categories": [
    "math.CO",
    "math.GN"
  ],
  "abstract": "For each $p>0$ we define by recurrence a triangle $T^p(n,k)$ whose rows sum to the Fuss-Catalan numbers $ \\frac{1}{p n+1}\\binom{pn+1}{n}$, generalizing the known Catalan triangle corresponding to the case $p=2$. The proof is given for $p=4$. Moreover, for some small values of $p$, the signed sums turn out to be known sequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-11T09:05:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A10",
      "05A19",
      "57M50"
    ],
    "keywords": [
      "fuss-catalan triangles",
      "signed sums turn",
      "small values",
      "rows sum",
      "fuss-catalan numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}