| Eulerian | | |
| Flat | A173018 | 1, 1, 0, 1, 1, 0, 1, 4, 1, 0 |
| Reverse | A123125 | 1, 0, 1, 0, 1, 1, 0, 1, 4, 1 |
| InvRev | nomatch | 1, 0, 1, 0, -1, 1, 0, 3, -4, 1 |
| DiagTri | nomatch | 1, 1, 1, 0, 1, 1, 1, 4, 0, 1 |
| PolyTri | A332700 | 1, 1, 1, 1, 1, 1, 1, 2, 1, 1 |
| sum | A000142 | 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880 |
| EvenSum | A128103 | 1, 1, 1, 2, 12, 68, 360, 2384, 20160, 185408 |
| OddSum | A262745 | 0, 0, 1, 4, 12, 52, 360, 2656, 20160, 177472 |
| AltSum | A009006 | 1, 1, 0, -2, 0, 16, 0, -272, 0, 7936 |
| DiagSum | A000800 | 1, 1, 1, 2, 5, 13, 38, 125, 449, 1742 |
| Middle | A006551 | 1, 1, 1, 4, 11, 66, 302, 2416, 15619, 156190 |
| Central | A180056 | 1, 1, 11, 302, 15619, 1310354, 162512286, 27971176092, 6382798925475, 1865385657780650 |
| LeftSide | A000012 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
| RightSide | A000007 | 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
| PosHalf | A000670 | 1, 1, 3, 13, 75, 541, 4683, 47293, 545835, 7087261 |
| NegHalf | A087674 | 1, 1, -1, -3, 15, 21, -441, 477, 19935, -101979 |
| PolyVal2 | A000670 | 1, 1, 3, 13, 75, 541, 4683, 47293, 545835, 7087261 |
| PolyVal3 | A122704 | 1, 1, 4, 22, 160, 1456, 15904, 202672, 2951680, 48361216 |
| TransUnos | A000142 | 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880 |
| TransAlts | A009006 | 1, 1, 0, -2, 0, 16, 0, -272, 0, 7936 |
| TransSqrs | nomatch | 0, 0, 1, 8, 64, 540, 4920, 48720, 524160, 6108480 |
| TransNat0 | A180119 | 0, 0, 1, 6, 36, 240, 1800, 15120, 141120, 1451520 |
| TransNat1 | A001710 | 1, 1, 3, 12, 60, 360, 2520, 20160, 181440, 1814400 |