Detailed data for
animal enumerations on the {4,4} Euclidean tiling
with area 23
Last update made on October 8, 2014 (computation time: 1.174·10^5 seconds)
Area of the holes |
Number of polyominoes | ||||||
---|---|---|---|---|---|---|---|
Total | None | Rot | Axis | Diag | Axis2 | Diag2 | |
any | 168047007728 | 168046076423 | 240907 | 463712 | 226146 | 476 | 64 |
none | 124621833354 | 124621150623 |
212364 |
335815 |
134147 |
372 |
33 |
1 | 27139947540 | 27139871257 |
0 | 39040 |
37243 |
0 | 0 |
2 | 6562772229 | 6562758087 |
0 | 14142 |
0 | 0 | 0 |
3 | 2326872375 | 2326855582 |
0 | 9421 |
7372 |
0 | 0 |
4 | 1069436317 | 1069425982 |
0 | 3818 |
6517 |
0 | 0 |
5 | 524556447 | 524551320 |
0 | 3398 |
1729 |
0 | 0 |
6 | 267162721 | 267158220 |
0 | 2331 |
2170 |
0 | 0 |
7 | 133196710 | 133194171 |
0 | 1339 |
1200 |
0 | 0 |
8 | 67041503 | 67039218 |
0 | 933 |
1352 |
0 | 0 |
9 | 32157058 | 32155181 |
0 | 726 |
1151 |
0 | 0 |
10 | 15067394 | 15066628 |
0 | 375 |
391 |
0 | 0 |
11 | 6870358 | 6869754 |
0 | 213 |
391 |
0 | 0 |
12 | 2968895 | 2968477 |
0 | 147 |
271 |
0 | 0 |
13 | 1232715 | 1232427 |
0 | 68 |
220 |
0 | 0 |
14 | 504044 | 503890 |
0 | 40 |
114 |
0 | 0 |
15 | 191571 | 191449 |
0 | 31 |
91 |
0 | 0 |
16 | 68407 | 68317 |
0 | 7 |
83 |
0 | 0 |
17 | 24104 | 24085 |
0 | 3 |
16 |
0 | 0 |
18 | 8285 | 8270 |
0 | 3 |
12 |
0 | 0 |
19 | 2506 | 2497 |
0 | 1 |
8 |
0 | 0 |
20 | 664 | 657 |
0 | 1 |
6 |
0 | 0 |
21 | 144 | 140 |
0 | 0 | 4 |
0 | 0 |
22 | 50 | 47 |
0 | 0 | 3 |
0 | 0 |
23 | 15 | 14 |
0 | 0 | 1 |
0 | 0 |
24 | 4 | 3 |
0 | 0 | 1 |
0 | 0 |
25 | 1 | 0 | 0 | 0 | 1 |
0 | 0 |
1,1 | 2887818753 | 2887748392 |
21249 |
32527 |
16501 |
63 |
21 |
2,1 | 1181696446 | 1181694444 |
0 | 2002 |
0 | 0 | 0 |
2,2 | 115120600 | 115108101 |
4842 |
6203 |
1439 |
15 |
0 |
3,1 | 386549096 | 386546420 |
0 | 910 |
1766 |
0 | 0 |
3,2 | 64896148 | 64895962 |
0 | 186 |
0 | 0 | 0 |
3,3 | 7295991 | 7293218 |
1190 |
1358 |
214 |
9 |
2 |
4,1 | 151302131 | 151300190 |
0 | 262 |
1679 |
0 | 0 |
4,2 | 22450553 | 22450514 |
0 | 39 |
0 | 0 | 0 |
4,3 | 4119875 | 4119734 |
0 | 17 |
124 |
0 | 0 |
4,4 | 512624 | 511841 |
350 |
341 |
89 |
1 |
2 |
5,1 | 61542836 | 61542131 |
0 | 110 |
595 |
0 | 0 |
5,2 | 7480070 | 7480061 |
0 | 9 |
0 | 0 | 0 |
5,3 | 1020632 | 1020618 |
0 | 6 |
8 |
0 | 0 |
5,4 | 204373 | 204351 |
0 | 0 | 22 |
0 | 0 |
5,5 | 13447 | 13325 |
62 |
60 |
0 | 0 | 0 |
6,1 | 24467078 | 24466321 |
0 | 98 |
659 |
0 | 0 |
6,2 | 2516309 | 2516296 |
0 | 13 |
0 | 0 | 0 |
6,3 | 269458 | 269422 |
0 | 14 |
22 |
0 | 0 |
6,4 | 49420 | 49395 |
0 | 1 |
24 |
0 | 0 |
6,5 | 5415 | 5415 |
0 | 0 | 0 | 0 | 0 |
6,6 | 641 | 608 |
16 |
16 |
0 | 1 |
0 |
7,1 | 9215353 | 9215127 |
0 | 30 |
196 |
0 | 0 |
7,2 | 724006 | 724004 |
0 | 2 |
0 | 0 | 0 |
7,3 | 50217 | 50214 |
0 | 1 |
2 |
0 | 0 |
7,4 | 6767 | 6763 |
0 | 0 | 4 |
0 | 0 |
7,5 | 328 | 328 |
0 | 0 | 0 | 0 | 0 |
7,6 | 49 | 49 |
0 | 0 | 0 | 0 | 0 |
8,1 | 3379821 | 3379602 |
0 | 9 |
210 |
0 | 0 |
8,2 | 216874 | 216874 |
0 | 0 | 0 | 0 | 0 |
8,3 | 11918 | 11916 |
0 | 0 | 2 |
0 | 0 |
8,4 | 1424 | 1420 |
0 | 0 | 4 |
0 | 0 |
8,5 | 47 | 47 |
0 | 0 | 0 | 0 | 0 |
8,6 | 12 | 12 |
0 | 0 | 0 | 0 | 0 |
9,1 | 1135104 | 1134915 |
0 | 13 |
176 |
0 | 0 |
9,2 | 55779 | 55778 |
0 | 1 |
0 | 0 | 0 |
9,3 | 2033 | 2030 |
0 | 1 |
2 |
0 | 0 |
9,4 | 217 | 215 |
0 | 0 | 2 |
0 | 0 |
9,5 | 6 | 6 |
0 | 0 | 0 | 0 | 0 |
9,6 | 2 | 2 |
0 | 0 | 0 | 0 | 0 |
10,1 | 358829 | 358775 |
0 | 3 |
51 |
0 | 0 |
10,2 | 12352 | 12352 |
0 | 0 | 0 | 0 | 0 |
10,3 | 196 | 196 |
0 | 0 | 0 | 0 | 0 |
10,4 | 10 | 10 |
0 | 0 | 0 | 0 | 0 |
11,1 | 108804 | 108770 |
0 | 0 | 34 |
0 | 0 |
11,2 | 2791 | 2791 |
0 | 0 | 0 | 0 | 0 |
11,3 | 38 | 38 |
0 | 0 | 0 | 0 | 0 |
12,1 | 28314 | 28285 |
0 | 1 |
28 |
0 | 0 |
12,2 | 568 | 568 |
0 | 0 | 0 | 0 | 0 |
12,3 | 8 | 8 |
0 | 0 | 0 | 0 | 0 |
13,1 | 6581 | 6555 |
0 | 0 | 26 |
0 | 0 |
13,2 | 45 | 45 |
0 | 0 | 0 | 0 | 0 |
14,1 | 1566 | 1564 |
0 | 0 | 2 |
0 | 0 |
14,2 | 5 | 5 |
0 | 0 | 0 | 0 | 0 |
15,1 | 298 | 296 |
0 | 0 | 2 |
0 | 0 |
16,1 | 36 | 34 |
0 | 0 | 2 |
0 | 0 |
17,1 | 4 | 4 |
0 | 0 | 0 | 0 | 0 |
1,1,1 | 193109652 | 193101226 |
0 | 4032 |
4394 |
0 | 0 |
2,1,1 | 88519223 | 88518156 |
0 | 1067 |
0 | 0 | 0 |
2,2,1 | 11592142 | 11591054 |
0 | 529 |
559 |
0 | 0 |
2,2,2 | 393245 | 393149 |
0 | 96 |
0 | 0 | 0 |
3,1,1 | 22053063 | 22052051 |
0 | 459 |
553 |
0 | 0 |
3,2,1 | 4265309 | 4265309 |
0 | 0 | 0 | 0 | 0 |
3,2,2 | 140339 | 140290 |
0 | 27 |
22 |
0 | 0 |
3,3,1 | 239660 | 239570 |
0 | 47 |
43 |
0 | 0 |
3,3,2 | 7693 | 7691 |
0 | 2 |
0 | 0 | 0 |
3,3,3 | 31 | 31 |
0 | 0 | 0 | 0 | 0 |
4,1,1 | 6155496 | 6154737 |
0 | 178 |
581 |
0 | 0 |
4,2,1 | 920640 | 920640 |
0 | 0 | 0 | 0 | 0 |
4,2,2 | 22014 | 21976 |
0 | 4 |
34 |
0 | 0 |
4,3,1 | 71981 | 71975 |
0 | 0 | 6 |
0 | 0 |
4,3,2 | 1675 | 1675 |
0 | 0 | 0 | 0 | 0 |
4,3,3 | 2 | 2 |
0 | 0 | 0 | 0 | 0 |
4,4,1 | 4566 | 4553 |
0 | 4 |
9 |
0 | 0 |
4,4,2 | 59 | 59 |
0 | 0 | 0 | 0 | 0 |
5,1,1 | 1608199 | 1608075 |
0 | 60 |
64 |
0 | 0 |
5,2,1 | 166035 | 166035 |
0 | 0 | 0 | 0 | 0 |
5,2,2 | 2114 | 2114 |
0 | 0 | 0 | 0 | 0 |
5,3,1 | 6635 | 6635 |
0 | 0 | 0 | 0 | 0 |
5,3,2 | 33 | 33 |
0 | 0 | 0 | 0 | 0 |
5,4,1 | 549 | 549 |
0 | 0 | 0 | 0 | 0 |
5,5,1 | 2 | 2 |
0 | 0 | 0 | 0 | 0 |
6,1,1 | 383901 | 383755 |
0 | 45 |
101 |
0 | 0 |
6,2,1 | 29215 | 29215 |
0 | 0 | 0 | 0 | 0 |
6,2,2 | 269 | 268 |
0 | 1 |
0 | 0 | 0 |
6,3,1 | 854 | 854 |
0 | 0 | 0 | 0 | 0 |
6,4,1 | 47 | 47 |
0 | 0 | 0 | 0 | 0 |
7,1,1 | 80971 | 80920 |
0 | 18 |
33 |
0 | 0 |
7,2,1 | 3306 | 3306 |
0 | 0 | 0 | 0 | 0 |
7,2,2 | 5 | 5 |
0 | 0 | 0 | 0 | 0 |
7,3,1 | 12 | 12 |
0 | 0 | 0 | 0 | 0 |
8,1,1 | 16050 | 16034 |
0 | 3 |
13 |
0 | 0 |
8,2,1 | 523 | 523 |
0 | 0 | 0 | 0 | 0 |
9,1,1 | 2379 | 2360 |
0 | 3 |
16 |
0 | 0 |
9,2,1 | 36 | 36 |
0 | 0 | 0 | 0 | 0 |
10,1,1 | 309 | 306 |
0 | 1 |
2 |
0 | 0 |
11,1,1 | 40 | 40 |
0 | 0 | 0 | 0 | 0 |
12,1,1 | 4 | 4 |
0 | 0 | 0 | 0 | 0 |
1,1,1,1 | 7306331 | 7303808 |
684 |
848 |
971 |
14 |
6 |
2,1,1,1 | 2588530 | 2588508 |
0 | 22 |
0 | 0 | 0 |
2,2,1,1 | 235175 | 234856 |
141 |
104 |
74 |
0 | 0 |
2,2,2,1 | 5036 | 5036 |
0 | 0 | 0 | 0 | 0 |
2,2,2,2 | 13 | 9 |
3 |
0 | 0 | 1 |
0 |
3,1,1,1 | 317735 | 317660 |
0 | 7 |
68 |
0 | 0 |
3,2,1,1 | 29638 | 29638 |
0 | 0 | 0 | 0 | 0 |
3,2,2,1 | 239 | 237 |
0 | 0 | 2 |
0 | 0 |
3,3,1,1 | 211 | 201 |
4 |
4 |
2 |
0 | 0 |
4,1,1,1 | 45770 | 45693 |
0 | 0 | 77 |
0 | 0 |
4,2,1,1 | 2747 | 2747 |
0 | 0 | 0 | 0 | 0 |
4,2,2,1 | 10 | 7 |
0 | 0 | 3 |
0 | 0 |
4,3,1,1 | 15 | 13 |
0 | 0 | 2 |
0 | 0 |
4,4,1,1 | 1 | 0 | 0 | 0 | 1 |
0 | 0 |
5,1,1,1 | 4295 | 4295 |
0 | 0 | 0 | 0 | 0 |
5,2,1,1 | 63 | 63 |
0 | 0 | 0 | 0 | 0 |
6,1,1,1 | 447 | 446 |
0 | 0 | 1 |
0 | 0 |
7,1,1,1 | 4 | 4 |
0 | 0 | 0 | 0 | 0 |
1,1,1,1,1 | 91601 | 91416 |
0 | 59 |
126 |
0 | 0 |
2,1,1,1,1 | 13402 | 13398 |
0 | 4 |
0 | 0 | 0 |
2,2,1,1,1 | 221 | 218 |
0 | 1 |
2 |
0 | 0 |
3,1,1,1,1 | 188 | 186 |
0 | 0 | 2 |
0 | 0 |
4,1,1,1,1 | 5 | 3 |
0 | 0 | 2 |
0 | 0 |
1,1,1,1,1,1 | 64 | 56 |
2 |
2 |
4 |
0 | 0 |