Here is a list of unique Kakuro blocks:
| no. of cells | sum | unique combination |
| 2 | 3 | 1,2 |
| 2 | 4 | 1,3 |
| 2 | 16 | 9,7 |
| 2 | 17 | 9,8 |
| 3 | 6 | 1,2,3 |
| 3 | 7 | 1,2,4 |
| 3 | 23 | 6,8,9 |
| 3 | 24 | 7,8,9 |
| 4 | 10 | 1,2,3,4 |
| 4 | 11 | 1,2,3,5 |
| 4 | 29 | 5,7,8,9 |
| 4 | 30 | 6,7,8,9 |
| 5 | 15 | 1,2,3,4,5 |
| 5 | 16 | 1,2,3,4,6 |
| 5 | 34 | 4,6,7,8,9 |
| 5 | 35 | 5,6,7,8,9 |
| 6 | 21 | 1,2,3,4,5,6 |
| 6 | 22 | 1,2,3,4,5,7 |
| 6 | 38 | 3,5,6,7,8,9 |
| 6 | 39 | 4,5,6,7,8,9 |
| 7 | 28 | 1,2,3,4,5,6,7 |
| 7 | 29 | 1,2,3,4,5,6,8 |
| 7 | 41 | 2,4,5,6,7,8,9 |
| 7 | 42 | 3,4,5,6,7,8,9 |