{
  "counts": {
    "square-site": {
      "1": "1",
      "21": "88983512783",
      "2": "2",
      "22": "345532572678",
      "3": "6",
      "23": "1344372335524",
      "4": "19",
      "24": "5239988770268",
      "5": "63",
      "25": "20457802016011",
      "6": "216",
      "26": "79992676367108",
      "7": "760",
      "27": "313224032098244",
      "8": "2725",
      "28": "1228088671826973",
      "9": "9910",
      "29": "4820975409710116",
      "10": "36446",
      "30": "18946775782611174",
      "11": "135268",
      "31": "74541651404935148",
      "12": "505861",
      "32": "293560133910477776",
      "13": "1903890",
      "33": "1157186142148293638",
      "14": "7204874",
      "34": "4565553929115769162",
      "15": "27394666",
      "35": "18027932215016128134",
      "16": "104592937",
      "36": "71242712815411950635",
      "17": "400795844",
      "37": "281746550485032531911",
      "18": "1540820542",
      "38": "1115021869572604692100",
      "19": "5940738676",
      "39": "4415695134978868448596",
      "20": "22964779660",
      "40": "17498111172838312982542",
      "41": "69381900728932743048483",
      "42": "275265412856343074274146",
      "43": "1092687308874612006972082",
      "44": "4339784013643393384603906",
      "45": "17244800728846724289191074",
      "46": "68557762666345165410168738",
      "47": "272680844424943840614538634",
      "48": "1085035285182087705685323738",
      "49": "4319331509344565487555270660",
      "50": "17201460881287871798942420736",
      "51": "68530413174845561618160604928",
      "52": "273126660016519143293320026256",
      "53": "1088933685559350300820095990030",
      "54": "4342997469623933155942753899000",
      "55": "17326987021737904384935434351490",
      "56": "69150714562532896936574425480218",
      "57": "276061302869769053815091348274853",
      "58": "1102414654388614817828362087885194",
      "59": "4403627610727810528935609181494038",
      "60": "17595360125786076902429902468975094",
      "61": "70324022977839757717649768794923974",
      "62": "281140509936541236506957176030736610",
      "63": "1124226206002101486403009097923067462",
      "64": "4496670726609716846990603851802851046",
      "65": "17990046482672581050565325516788100067",
      "66": "71990329116147598315672557624308271186",
      "67": "288146737936083547752609866746184117544",
      "68": "1153580914959613979832549218358894513290",
      "69": "4619282047583828929546825973053580643926",
      "70": "18500792645885711270652890811942343400814"
    },
    "sc-site": {
      "1": "1",
      "2": "3",
      "3": "15",
      "4": "86",
      "5": "534",
      "6": "3481",
      "7": "23502",
      "8": "162913",
      "9": "1152870",
      "10": "8294738",
      "11": "60494549",
      "12": "446205905",
      "13": "3322769321",
      "14": "24946773111",
      "15": "188625900446",
      "16": "1435074454755",
      "17": "10977812452428",
      "18": "84384157287999",
      "19": "651459315795897",
      "20": "5049008190434659",
      "21": "39269513463794006",
      "22": "306405169166373418"
    }
  },
  "reported_estimates": {
    "site-square": [
      "4.062570",
      "0.000008"
    ],
    "log-site-sc": [
      "2.1218588",
      "0.0000025"
    ],
    "bond-square": [
      "5.20789",
      "0.00004"
    ],
    "bond-sc": [
      "10.61539",
      "0.00006"
    ]
  },
  "crosschecks": {
    "log-site-square-HNG": [
      "1.4018155",
      "0.0000030"
    ],
    "log-site-sc-constrained-HNG": [
      "2.1218592",
      "0.0000020"
    ],
    "log-site-sc-Guttmann-Gaunt-1978-as-quoted-HNG": [
      "2.120",
      "0.002"
    ],
    "bond-square-Guttmann-Gaunt-1978-as-quoted-HNG": [
      "5.208",
      "0.004"
    ],
    "bond-sc-Gaunt-Ruskin-1978-as-quoted-HNG": [
      "10.62",
      "0.08"
    ]
  },
  "newer_square_estimates_not_selected": [
    [
      "4.06256912",
      "0.00000002"
    ],
    [
      "4.06256903",
      "0.00000005"
    ]
  ],
  "sources": {
    "square_counts": "Barequet and Ben-Shachar, arXiv:2610.10632v1, Table 3 and correction on first page.",
    "sc_counts": "OEIS A001931 b-file, accessed with web browser 2026-10-25; direct Python HTTP download was refused.",
    "square_bond_small_counts": "E. J. Janse van Rensburg, The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles, second edition, section 2.1 p.40: a_0=1, a_1=2, a_2=6, a_3=22, a_4=88.",
    "estimates": "Jensen arXiv:cond-mat/0007239v2 and Hsu et al. journal Table 1 p.788, section 5.2 p.801; arXiv:cond-mat/0408061v2 agrees on selected entries."
  },
  "count_correction": {
    "n": 67,
    "published": "288146737936083547752609866746184117546",
    "corrected": "288146737936083547752609866746184117544",
    "cause": "The authors report summation or transcription error, not an enumeration code error; the printed count was two too large."
  },
  "source_hashes": {
    "hsu.pdf": "f08bf17e43fd52dffe0aa28008d5f5b55822aee22b593f8839e494707f37df96",
    "bondcount.pdf": "4814625ebff6b8b595d5c0f0ff73f2ac98f33bfcccdf087439bc36abeed77eb2",
    "jensen.pdf": "3e1ccf3575b2609d14782260998e2ca45f0e6ae45994ca9ad5803a1e1743761f",
    "bound.pdf": "6472bda1fa169c3b07e64a392331c54d28ae95f946120a608bfca658c6049d83",
    "polybound.pdf": "44e19dd305ac6831a20dcd5c8625a1a37b9e8ac92788b71742091f3b22620a90",
    "hsu-journal.pdf": "6cf5ea9addf01a94d560573bce5796b427f21d6a0e8bf950f581050f0571a5bb",
    "correction.pdf": "0034fafd715ef22c60ff584a2003acdcbed544f9e611a236f87fde5d98031899"
  }
}