files / problems / unique-sum / compute / q4 / published_oeis.json

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{
  "retrieved": "2026-09-05",
  "source": "https://oeis.org/search?q=id%3AA398173&fmt=json",
  "number": 398173,
  "data": "3,4,5,7,7,8,9,10,11,11,12,13,13,13,14,15,15,16,16,16",
  "example": [
    "a(2) = 4: for p = 5 the set {0, 1, 2, 3} works, since the ordered representation counts of the sums 0, 1, 2, 3, 4 (mod 5) are 3, 3, 3, 4, 3 respectively, e.g., 3 = 0+3 = 1+2 = 2+1 = 3+0; so a(2) <= 4. Checking all ten 3-element subsets of Z/5Z shows none works, so a(2) = 4.",
    "a(15) = 14: {0, 1, 5, 7, 14, 16, 18, 28, 32, 35, 36, 39, 43, 51}.",
    "a(16) = 15: {0, 1, 2, 3, 4, 5, 9, 10, 16, 25, 27, 32, 42, 44, 48}.",
    "a(17) = 15: {0, 1, 2, 3, 4, 6, 15, 21, 22, 24, 42, 49, 55, 56, 58}.",
    "a(18) = 16: {0, 1, 2, 3, 4, 5, 6, 7, 11, 14, 15, 25, 26, 50, 53, 54}.",
    "a(19) = 16: {0, 1, 2, 3, 4, 5, 7, 8, 12, 31, 45, 46, 57, 59, 61, 64}.",
    "a(20) = 16: {0, 1, 2, 3, 4, 5, 8, 9, 13, 21, 23, 25, 29, 44, 45, 65}."
  ],
  "ext": [
    "a(12)-a(14) from _Sean A. Irvine_, Jul 27 2026",
    "a(15) from _Pawe\u0142 Kwaczy\u0144ski_, Jul 29 2026",
    "a(16)-a(20) from _Pawe\u0142 Kwaczy\u0144ski_, Aug 08 2026"
  ]
}