{
  "id": "1808.08699",
  "version": "v1",
  "published": "2018-08-27T06:15:57.000Z",
  "updated": "2018-08-27T06:15:57.000Z",
  "title": "Generalized Nested Summation of Powers of Natural Numbers",
  "authors": [
    "Patibandla Chanakya",
    "Putla Harsha"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we provide a general framework for obtaining the formula for nested summation of powers of natural numbers. We define a special triangular array of numbers from which we can obtain the formula for nested summation of natural numbers at any particular power. Binomial coefficients play a key role in nesting. Our framework is very simple to understand.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-27T06:15:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "40B05",
      "40B99"
    ],
    "keywords": [
      "natural numbers",
      "generalized nested summation",
      "special triangular array",
      "binomial coefficients play",
      "general framework"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}