| Motzkin | | |
| Flat | A064189 | 1, 1, 1, 2, 2, 1, 4, 5, 3, 1 |
| Reverse | A026300 | 1, 1, 1, 1, 2, 2, 1, 3, 5, 4 |
| Inverse | A101950 | 1, -1, 1, 0, -2, 1, 1, 1, -3, 1 |
| RevInv | nomatch | 1, 1, -1, 1, -2, 0, 1, -3, 1, 1 |
| DiagTri | A106489 | 1, 1, 2, 1, 4, 2, 9, 5, 1, 21 |
| PolyTri | A330792 | 1, 1, 1, 2, 2, 1, 4, 5, 3, 1 |
| sum | A005773 | 1, 2, 5, 13, 35, 96, 267, 750, 2123, 6046 |
| EvenSum | A002426 | 1, 1, 3, 7, 19, 51, 141, 393, 1107, 3139 |
| OddSum | A005717 | 0, 1, 2, 6, 16, 45, 126, 357, 1016, 2907 |
| AltSum | A005043 | 1, 0, 1, 1, 3, 6, 15, 36, 91, 232 |
| DiagSum | A342912 | 1, 1, 3, 6, 15, 36, 91, 232, 603, 1585 |
| Middle | nomatch | 1, 1, 2, 5, 9, 25, 44, 133, 230, 726 |
| Central | A026302 | 1, 2, 9, 44, 230, 1242, 6853, 38376, 217242, 1239980 |
| LeftSide | A001006 | 1, 1, 2, 4, 9, 21, 51, 127, 323, 835 |
| RightSide | A000012 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
| PosHalf | A330799 | 1, 3, 13, 59, 285, 1419, 7245, 37659, 198589, 1059371 |
| NegHalf | A330800 | 1, -1, 5, -17, 77, -345, 1653, -8097, 40733, -208553 |
| PolyVal2 | A059738 | 1, 3, 10, 34, 117, 405, 1407, 4899, 17083, 59629 |
| PolyVal3 | nomatch | 1, 4, 17, 73, 315, 1362, 5895, 25528, 110579, 479068 |
| BinTrans | nomatch | 1, 2, 7, 29, 128, 587, 2759, 13190, 63844, 311948 |
| IBinTrans | nomatch | 1, 0, -1, 3, 0, -5, 15, 0, -28, 84 |
| TransSqrs | nomatch | 0, 1, 6, 26, 100, 361, 1254, 4245, 14108, 46247 |
| TransNat0 | A330796 | 0, 1, 4, 14, 46, 147, 462, 1437, 4438, 13637 |
| TransNat1 | A000244 | 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683 |