N   <---- 3 X 3 nbd -------->       Rule    Polynomial; a_n b_n sequences
0, [0, 0, 0, 0, 0, 0, 0, 0, 0]: OddRule 000; 0; A000004, A000004
 
1, [0, 0, 0, 0, 0, 0, 0, 0, 1]: OddRule 001; x/y; A000012, A000012
 
2, [0, 0, 0, 0, 0, 0, 0, 1, 1]: OddRule 003; 1/y+x/y; A001316, A000079
2, [0, 0, 0, 0, 0, 0, 1, 0, 1]: OddRule 005; 1/(x*y)+x/y; Same as OddRule 003
2, [0, 0, 0, 0, 0, 1, 0, 1, 0]: OddRule 012; x+1/y; Same as OddRule 003
2, [0, 0, 0, 0, 0, 1, 1, 0, 0]: OddRule 014; x+1/(x*y); Same as OddRule 003
2, [0, 0, 1, 0, 0, 0, 1, 0, 0]: OddRule 104; x*y+1/(x*y); Same as OddRule 003
 
3, [0, 0, 0, 0, 0, 0, 1, 1, 1]: OddRule 007; 1/(x*y)+1/y+x/y; A071053, A001045
3, [0, 0, 0, 0, 0, 1, 0, 1, 1]: OddRule 013; x+1/y+x/y; A048883, A000244
3, [0, 0, 0, 0, 0, 1, 1, 0, 1]: OddRule 015; x+1/(x*y)+x/y; Same as OddRule 013
3, [0, 0, 0, 0, 0, 1, 1, 1, 0]: OddRule 016; x+1/(x*y)+1/y; Same as OddRule 013
3, [0, 0, 0, 0, 1, 0, 1, 0, 1]: OddRule 025; 1+1/(x*y)+x/y; Same as OddRule 013
3, [0, 0, 1, 0, 0, 0, 1, 0, 1]: OddRule 105; x*y+1/(x*y)+x/y; Same as OddRule 013
3, [0, 0, 1, 0, 0, 0, 1, 1, 0]: OddRule 106; x*y+1/(x*y)+1/y; Same as OddRule 013
3, [0, 0, 1, 0, 1, 0, 1, 0, 0]: OddRule 124; 1+x*y+1/(x*y); Same as OddRule 007
3, [0, 0, 1, 1, 0, 0, 0, 0, 1]: OddRule 141; x*y+1/x+x/y; Same as OddRule 013
3, [0, 0, 1, 1, 0, 0, 0, 1, 0]: OddRule 142; x*y+1/x+1/y; Same as OddRule 013
 
4, [0, 0, 0, 0, 0, 1, 1, 1, 1]: OddRule 017; x+1/(x*y)+1/y+x/y; A253064, A087206
4, [0, 0, 0, 0, 1, 0, 1, 1, 1]: OddRule 027; 1+1/(x*y)+1/y+x/y; Same as OddRule 017
4, [0, 0, 0, 0, 1, 1, 0, 1, 1]: OddRule 033; 1+x+1/y+x/y; A102376, A000302
4, [0, 0, 0, 0, 1, 1, 1, 0, 1]: OddRule 035; 1+x+1/(x*y)+x/y; A255297, A027649
4, [0, 0, 0, 0, 1, 1, 1, 1, 0]: OddRule 036; 1+x+1/(x*y)+1/y; Same as OddRule 033
4, [0, 0, 0, 1, 0, 1, 1, 0, 1]: OddRule 055; 1/x+x+1/(x*y)+x/y; Same as OddRule 033
4, [0, 0, 1, 0, 0, 0, 1, 1, 1]: OddRule 107; x*y+1/(x*y)+1/y+x/y; Same as OddRule 017
4, [0, 0, 1, 0, 0, 1, 1, 1, 0]: OddRule 116; x*y+x+1/(x*y)+1/y; Same as OddRule 035
4, [0, 0, 1, 0, 1, 0, 1, 0, 1]: OddRule 125; 1+x*y+1/(x*y)+x/y; Same as OddRule 017
4, [0, 0, 1, 0, 1, 0, 1, 1, 0]: OddRule 126; 1+x*y+1/(x*y)+1/y; Same as OddRule 017
4, [0, 0, 1, 1, 0, 0, 0, 1, 1]: OddRule 143; x*y+1/x+1/y+x/y; A255298, A255299
4, [0, 0, 1, 1, 0, 0, 1, 0, 1]: OddRule 145; x*y+1/x+1/(x*y)+x/y; Same as OddRule 035
4, [0, 0, 1, 1, 0, 0, 1, 1, 0]: OddRule 146; x*y+1/x+1/(x*y)+1/y; A255302, A255303
4, [0, 0, 1, 1, 0, 1, 0, 0, 1]: OddRule 151; x*y+1/x+x+x/y; Same as OddRule 017
4, [0, 0, 1, 1, 0, 1, 0, 1, 0]: OddRule 152; x*y+1/x+x+1/y; Same as OddRule 146
4, [0, 0, 1, 1, 0, 1, 1, 0, 0]: OddRule 154; x*y+1/x+x+1/(x*y); Same as OddRule 033
4, [0, 0, 1, 1, 1, 0, 0, 0, 1]: OddRule 161; 1+x*y+1/x+x/y; A255300, A255301
4, [0, 0, 1, 1, 1, 0, 0, 1, 0]: OddRule 162; 1+x*y+1/x+1/y; Same as OddRule 033
4, [0, 1, 0, 1, 0, 1, 0, 1, 0]: OddRule 252; y+1/x+x+1/y; Same as OddRule 033
4, [1, 0, 1, 0, 0, 0, 1, 0, 1]: OddRule 505; y/x+x*y+1/(x*y)+x/y; Same as OddRule 033
 
5, [0, 0, 0, 0, 1, 1, 1, 1, 1]: OddRule 037; 1+x+1/(x*y)+1/y+x/y; A255445, A001834
5, [0, 0, 0, 1, 0, 1, 1, 1, 1]: OddRule 057; 1/x+x+1/(x*y)+1/y+x/y; A072272, A007483
5, [0, 0, 1, 0, 0, 1, 1, 1, 1]: OddRule 117; x*y+x+1/(x*y)+1/y+x/y; A255304, A255442
5, [0, 0, 1, 0, 1, 0, 1, 1, 1]: OddRule 127; 1+x*y+1/(x*y)+1/y+x/y; Same as OddRule 117
5, [0, 0, 1, 0, 1, 1, 1, 1, 0]: OddRule 136; 1+x*y+x+1/(x*y)+1/y; Same as OddRulew 037
5, [0, 0, 1, 1, 0, 0, 1, 1, 1]: OddRule 147; x*y+1/x+1/(x*y)+1/y+x/y; A255443, A255444
5, [0, 0, 1, 1, 0, 1, 0, 1, 1]: OddRule 153; x*y+1/x+x+1/y+x/y; A255454, A255455
5, [0, 0, 1, 1, 0, 1, 1, 0, 1]: OddRule 155; x*y+1/x+x+1/(x*y)+x/y; Same as OddRulew 037
5, [0, 0, 1, 1, 0, 1, 1, 1, 0]: OddRule 156; x*y+1/x+x+1/(x*y)+1/y; A255452, A255453
5, [0, 0, 1, 1, 1, 0, 0, 1, 1]: OddRule 163; 1+x*y+1/x+1/y+x/y; A255456, A255457
5, [0, 0, 1, 1, 1, 0, 1, 0, 1]: OddRule 165; 1+x*y+1/x+1/(x*y)+x/y; A255446, A255447
5, [0, 0, 1, 1, 1, 0, 1, 1, 0]: OddRule 166; 1+x*y+1/x+1/(x*y)+1/y; A255450, A255451
5, [0, 0, 1, 1, 1, 1, 0, 0, 1]: OddRule 171; 1+x*y+1/x+x+x/y; A253065, A253067
5, [0, 0, 1, 1, 1, 1, 0, 1, 0]: OddRule 172; 1+x*y+1/x+x+1/y; Same as OddRule 166
5, [0, 0, 1, 1, 1, 1, 1, 0, 0]: OddRule 174; 1+x*y+1/x+x+1/(x*y); Same as OddRule 057
5, [0, 1, 0, 1, 0, 1, 0, 1, 1]: OddRule 253; y+1/x+x+1/y+x/y; Same as OddRule 156
5, [0, 1, 0, 1, 0, 1, 1, 0, 1]: OddRule 255; y+1/x+x+1/(x*y)+x/y; A255458, A255259
5, [0, 1, 0, 1, 1, 1, 0, 1, 0]: OddRule 272; 1+y+1/x+x+1/y; Same as OddRule 057
5, [0, 1, 1, 1, 0, 0, 1, 0, 1]: OddRule 345; y+x*y+1/x+1/(x*y)+x/y; A255448, A255449
5, [1, 0, 1, 0, 0, 0, 1, 1, 1]: OddRule 507; y/x+x*y+1/(x*y)+1/y+x/y; Same as OddRule 057
5, [1, 0, 1, 0, 1, 0, 1, 0, 1]: OddRule 525; 1+y/x+x*y+1/(x*y)+x/y; Same as OddRule 057
 
6, [0, 0, 0, 1, 1, 1, 1, 1, 1]: OddRule 077; 1+1/x+x+1/(x*y)+1/y+x/y; A246037, A246036
6, [0, 0, 1, 0, 1, 1, 1, 1, 1]: OddRule 137; 1+x*y+x+1/(x*y)+1/y+x/y; A255464, A255465
6, [0, 0, 1, 1, 0, 1, 1, 1, 1]: OddRule 157; x*y+1/x+x+1/(x*y)+1/y+x/y; A255468, A255469
6, [0, 0, 1, 1, 1, 0, 1, 1, 1]: OddRule 167; 1+x*y+1/x+1/(x*y)+1/y+x/y; A255466, A255467
6, [0, 0, 1, 1, 1, 1, 0, 1, 1]: OddRule 173; 1+x*y+1/x+x+1/y+x/y; A255475, A255476
6, [0, 0, 1, 1, 1, 1, 1, 0, 1]: OddRule 175; 1+x*y+1/x+x+1/(x*y)+x/y; A253069, A253070
6, [0, 0, 1, 1, 1, 1, 1, 1, 0]: OddRule 176; 1+x*y+1/x+x+1/(x*y)+1/y; A255470, A255471
6, [0, 1, 0, 1, 0, 1, 1, 1, 1]: OddRule 257; y+1/x+x+1/(x*y)+1/y+x/y; A255473, A255474
6, [0, 1, 0, 1, 1, 1, 0, 1, 1]: OddRule 273; 1+y+1/x+x+1/y+x/y; Same as OddRule 176
6, [0, 1, 0, 1, 1, 1, 1, 0, 1]: OddRule 275; 1+y+1/x+x+1/(x*y)+x/y; A253066, A253068
6, [0, 1, 1, 1, 0, 0, 1, 1, 1]: OddRule 347; y+x*y+1/x+1/(x*y)+1/y+x/y; A253100, A253101
6, [0, 1, 1, 1, 0, 1, 1, 1, 0]: OddRule 356; y+x*y+1/x+x+1/(x*y)+1/y; A247640, AA164908
6, [0, 1, 1, 1, 1, 0, 1, 0, 1]: OddRule 365; 1+y+x*y+1/x+1/(x*y)+x/y; A255462, A255463
6, [1, 0, 1, 0, 0, 1, 1, 1, 1]: OddRule 517; y/x+x*y+x+1/(x*y)+1/y+x/y; A255460, A255461
6, [1, 0, 1, 0, 1, 0, 1, 1, 1]: OddRule 527; 1+y/x+x*y+1/(x*y)+1/y+x/y; A255295, A255296
6, [1, 0, 1, 1, 0, 1, 1, 0, 1]: OddRule 555; y/x+x*y+1/x+x+1/(x*y)+x/y; Same as OddRule 077
 
7, [0, 0, 1, 1, 1, 1, 1, 1, 1]: OddRule 177; 1+x*y+1/x+x+1/(x*y)+1/y+x/y; A255277, A255278
7, [0, 1, 0, 1, 1, 1, 1, 1, 1]: OddRule 277; 1+y+1/x+x+1/(x*y)+1/y+x/y; A255279, A255280
7, [0, 1, 1, 1, 0, 1, 1, 1, 1]: OddRule 357; y+x*y+1/x+x+1/(x*y)+1/y+x/y; A253071, A253072
7, [0, 1, 1, 1, 1, 0, 1, 1, 1]: OddRule 367; 1+y+x*y+1/x+1/(x*y)+1/y+x/y; A255281, A255282
7, [0, 1, 1, 1, 1, 1, 1, 1, 0]: OddRule 376; 1+y+x*y+1/x+x+1/(x*y)+1/y; A247666, A102900
7, [1, 0, 1, 0, 1, 1, 1, 1, 1]: OddRule 537; 1+y/x+x*y+x+1/(x*y)+1/y+x/y; A255283, A255284
7, [1, 0, 1, 1, 0, 1, 1, 1, 1]: OddRule 557; y/x+x*y+1/x+x+1/(x*y)+1/y+x/y; Same as OddRule 376
7, [1, 0, 1, 1, 1, 1, 1, 0, 1]: OddRule 575; 1+y/x+x*y+1/x+x+1/(x*y)+x/y; A246039, A246038
 
8, [0, 1, 1, 1, 1, 1, 1, 1, 1]: OddRule 377; 1+y+x*y+1/x+x+1/(x*y)+1/y+x/y; A255275, A255276
8, [1, 0, 1, 1, 1, 1, 1, 1, 1]: OddRule 577; 1+y/x+x*y+1/x+x+1/(x*y)+1/y+x/y; A253104, A253105
8, [1, 1, 1, 1, 0, 1, 1, 1, 1]: OddRule 757; y/x+y+x*y+1/x+x+1/(x*y)+1/y+x/y; A160239, A246030
 
9, [1, 1, 1, 1, 1, 1, 1, 1, 1]: OddRule 777; 1+y/x+y+x*y+1/x+x+1/(x*y)+1/y+x/y; A246035, A139818