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5561 bytes, as of the version from 2026-10-25 11:31 (current). Recorded here, not run.
{
"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"
}
}