| Laguerre | | |
| Flat | A021009 | 1, 1, 1, 2, 4, 1, 6, 18, 9, 1 |
| Reverse | A021010 | 1, 1, 1, 1, 4, 2, 1, 9, 18, 6 |
| Inverse | A021009 | 1, -1, 1, 2, -4, 1, -6, 18, -9, 1 |
| RevInv | A021010 | 1, 1, -1, 1, -4, 2, 1, -9, 18, -6 |
| DiagTri | A084950 | 1, 1, 2, 1, 6, 4, 24, 18, 1, 120 |
| PolyTri | nomatch | 1, 1, 1, 2, 2, 1, 6, 7, 3, 1 |
| sum | A002720 | 1, 2, 7, 34, 209, 1546, 13327, 130922, 1441729, 17572114 |
| EvenSum | A331325 | 1, 1, 3, 15, 97, 745, 6571, 65359, 723969, 8842257 |
| OddSum | A331326 | 0, 1, 4, 19, 112, 801, 6756, 65563, 717760, 8729857 |
| AltSum | A009940 | 1, 0, -1, -4, -15, -56, -185, -204, 6209, 112400 |
| DiagSum | A001040 | 1, 1, 3, 10, 43, 225, 1393, 9976, 81201, 740785 |
| Middle | nomatch | 1, 1, 4, 18, 72, 600, 2400, 29400, 117600, 1905120 |
| Central | A295383 | 1, 4, 72, 2400, 117600, 7620480, 614718720, 59364264960, 6678479808000, 857813628672000 |
| LeftSide | A000142 | 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880 |
| RightSide | A000012 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
| PosHalf | A025167 | 1, 3, 17, 139, 1473, 19091, 291793, 5129307, 101817089, 2250495523 |
| NegHalf | A025166 | 1, -1, 1, 7, -127, 1711, -23231, 334391, -5144063, 84149983 |
| PolyVal2 | A087912 | 1, 3, 14, 86, 648, 5752, 58576, 671568, 8546432, 119401856 |
| PolyVal3 | A277382 | 1, 4, 23, 168, 1473, 14988, 173007, 2228544, 31636449, 490102164 |
| BinTrans | A216831 | 1, 2, 11, 88, 905, 11246, 162607, 2668436, 48830273, 983353690 |
| IBinTrans | nomatch | 1, 0, -5, 22, 9, -1244, 14335, -79470, -586943, 25131304 |
| TransSqrs | A105219 | 0, 1, 8, 63, 544, 5225, 55656, 653023, 8379008, 116780049 |
| TransNat0 | A103194 | 0, 1, 6, 39, 292, 2505, 24306, 263431, 3154824, 41368977 |
| TransNat1 | A000262 | 1, 3, 13, 73, 501, 4051, 37633, 394353, 4596553, 58941091 |