{
  "id": "1210.8437",
  "version": "v1",
  "published": "2012-10-31T18:52:13.000Z",
  "updated": "2012-10-31T18:52:13.000Z",
  "title": "On a Conjecture of Andrica and Tomescu",
  "authors": [
    "Blair D. Sullivan"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Let S(n) be the integer sequence which is the coefficient of x^{n(n+1)/4} in the expansion of (1+x)(1+x^2), ..., (1+x^n) for positive integers n congruent to 0 or 3 mod 4. We prove a conjecture of Andrica and Tomescu that S(n) is asymptotic to \\sqrt{6/\\pi} 2^n n^{-3/2} as n approaches infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-31T18:52:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conjecture",
      "integer sequence",
      "approaches infinity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.8437S"
    }
  }
}