A221833 as a triangular array
| | | | | | | | | | | | 1 |
| | | | | | | | | | | | 0 | | 1 |
| | | | | | | | | | | 0 | | 1 | | 1 |
| | | | | | | | | | 0 | | 0 | | 2 | | 1 |
| | | | | | | | | 0 | | 0 | | 3 | | 3 | | 1 |
| | | | | | | | 0 | | 0 | | 2 | | 6 | | 4 | | 1 |
| | | | | | | 0 | | 0 | | 1 | | 10 | | 10 | | 5 | | 1 |
| | | | | | 0 | | 0 | | 0 | | 12 | | 20 | | 15 | | 6 | | 1 |
| | | | | 0 | | 0 | | 0 | | 12 | | 35 | | 35 | | 21 | | 7 | | 1 |
| | | | 0 | | 0 | | 0 | | 10 | | 52 | | 70 | | 56 | | 28 | | 8 | | 1 |
| | | 0 | | 0 | | 0 | | 6 | | 68 | | 126 | | 126 | | 84 | | 36 | | 9 | | 1 |
| | 0 | | 0 | | 0 | | 3 | | 80 | | 205 | | 252 | | 210 | | 120 | | 45 | | 10 | | 1 |
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A221833 as a square array
1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
| 1 | 2 | 3 | 2 | 1 | 0 | 0 | 0 | 0 | 0
| 1 | 3 | 6 | 10 | 12 | 12 | 10 | 6 | 3
| 1 | 4 | 10 | 20 | 35 | 52 | 68 | 80
| 1 | 5 | 15 | 35 | 70 | 126 | 205
| 1 | 6 | 21 | 56 | 126 | 252
| 1 | 7 | 28 | 84 | 210
| 1 | 8 | 36 | 120
| 1 | 9 | 45
| 1 | 10
| 1
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A221833 as an upper right triangle
1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
| | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
| | | 1 | 2 | 3 | 2 | 1 | 0 | 0 | 0 | 0 | 0
| | | | 1 | 3 | 6 | 10 | 12 | 12 | 10 | 6 | 3
| | | | | 1 | 4 | 10 | 20 | 35 | 52 | 68 | 80
| | | | | | 1 | 5 | 15 | 35 | 70 | 126 | 205
| | | | | | | 1 | 6 | 21 | 56 | 126 | 252
| | | | | | | | 1 | 7 | 28 | 84 | 210
| | | | | | | | | 1 | 8 | 36 | 120
| | | | | | | | | | 1 | 9 | 45
| | | | | | | | | | | 1 | 10
| | | | | | | | | | | | 1
|
|