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rokicki/Counts of positions of a specific order on the Rubik's cube

Created August 23, 2021 02:18
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Counts of positions of a specific order on the Rubik's cube
1 1 2.3120316385202037e-18
2 170911549183 3.951529090995979e-07
3 33894540622394 7.83652502920832e-05
4 4346957030144256 0.010050302184981343
5 133528172514624 0.00030872135948759456
6 140621059298755526 0.3251203381409485
7 153245517148800 0.00035430848410941603
8 294998638981939200 0.682046186646643
9 55333752398428896 0.12793338622321082
10 34178553690432192 0.07902189749114069
11 44590694400 1.0309509623638567e-07
12 2330232827455554048 5.387572022195632
14 23298374383021440 0.0538665786996342
15 14385471333209856 0.033259664857406605
16 150731886270873600 0.3484968899920889
18 1371824848124089632 3.1717024513710688
20 151839445189791744 0.35105760125415286
21 39337151559333120 0.09094873897444254
22 927085127270400 0.0021434501458506947
24 3293932519796244480 7.615676200919495
28 97419760907673600 0.2252375694356151
30 1373347158867028224 3.175222081972402
33 15874019662233600 0.03670123568957588
35 65526218912563200 0.15149869127844706
36 3768152294808760320 8.712087324360365
40 835897246403788800 1.9326208802374782
42 737199776831097600 1.704429207943531
44 100120377950208000 0.23148148148148148
45 197329441659727104 0.4562319123288158
48 911497647410380800 2.107411399249534
55 4854321355161600 0.01122334455667789
56 671205306846412800 1.551847905371568
60 4199961633799421952 9.710444177915269
63 264371433705308160 0.6112351190476191
66 404051175250329600 0.9341791007600335
70 210461722916290560 0.4865941620799364
72 1981453794190295040 4.581183862433862
77 187238109413376000 0.4329004329004329
80 13349383726694400 0.030864197530864196
84 1697725818678067200 3.925195806316306
90 1764876446897050368 4.080450183305103
99 104367909135974400 0.24130190796857465
105 232824419423354880 0.5382974239268944
110 4854321355161600 0.01122334455667789
112 128726200221696000 0.2976190476190476
120 1947044011463147520 4.501627356094091
126 854783686296207360 1.97628692680776
132 637129677864960000 1.473063973063973
140 223125413717606400 0.5158730158730159
144 714192029378150400 1.6512345679012346
154 187238109413376000 0.4329004329004329
165 213590139627110400 0.49382716049382713
168 1050269239266508800 2.428255710148714
180 2320395168471367680 5.364827043375221
198 759701292082790400 1.75645342312009
210 1053174509332070400 2.4349727864587383
231 374476218826752000 0.8658008658008658
240 407156203664179200 0.941358024691358
252 689877080447385600 1.5950176366843034
280 68653973451571200 0.15873015873015872
315 99309879652515840 0.22960758377425045
330 213590139627110400 0.49382716049382713
336 257452400443392000 0.5952380952380952
360 571019888909352960 1.320216049382716
420 961155628321996800 2.2222222222222223
462 374476218826752000 0.8658008658008658
495 174755568785817600 0.40404040404040403
504 238381852262400000 0.5511463844797179
630 395380140162416640 0.9141313932980599
720 120144453540249600 0.2777777777777778
840 240288907080499200 0.5555555555555556
990 174755568785817600 0.40404040404040403
1260 51490480088678400 0.11904761904761904
116061927260324415253 / 961155628321996800
120.7524815341
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rokicki commented Jun 27, 2022

These numbers correct the erroneous table published in Cubic Circular 3+4 (13 of those 73 values are incorrect).

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