A047120 as a triangular array
| | | | | | | | | | | | 1 |
| | | | | | | | | | | | 1 | | 1 |
| | | | | | | | | | | 1 | | 1 | | 1 |
| | | | | | | | | | 1 | | 2 | | 1 | | 1 |
| | | | | | | | | 1 | | 3 | | 3 | | 1 | | 1 |
| | | | | | | | 1 | | 4 | | 6 | | 4 | | 2 | | 1 |
| | | | | | | 1 | | 5 | | 10 | | 10 | | 6 | | 3 | | 1 |
| | | | | | 1 | | 6 | | 15 | | 20 | | 16 | | 6 | | 4 | | 1 |
| | | | | 1 | | 7 | | 21 | | 35 | | 36 | | 22 | | 6 | | 5 | | 1 |
| | | | 1 | | 8 | | 28 | | 56 | | 71 | | 58 | | 28 | | 6 | | 6 | | 1 |
| | | 1 | | 9 | | 36 | | 84 | | 127 | | 129 | | 86 | | 34 | | 12 | | 7 | | 1 |
| | 1 | | 10 | | 45 | | 120 | | 211 | | 256 | | 215 | | 120 | | 46 | | 19 | | 8 | | 1 |
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A047120 as a square array
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1
| 1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
| 1 | 1 | 3 | 6 | 10 | 15 | 21 | 28 | 36 | 45
| 1 | 1 | 4 | 10 | 20 | 35 | 56 | 84 | 120
| 1 | 2 | 6 | 16 | 36 | 71 | 127 | 211
| 1 | 3 | 6 | 22 | 58 | 129 | 256
| 1 | 4 | 6 | 28 | 86 | 215
| 1 | 5 | 6 | 34 | 120
| 1 | 6 | 12 | 46
| 1 | 7 | 19
| 1 | 8
| 1
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A047120 as an upper right triangle
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1
| | 1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
| | | 1 | 1 | 3 | 6 | 10 | 15 | 21 | 28 | 36 | 45
| | | | 1 | 1 | 4 | 10 | 20 | 35 | 56 | 84 | 120
| | | | | 1 | 2 | 6 | 16 | 36 | 71 | 127 | 211
| | | | | | 1 | 3 | 6 | 22 | 58 | 129 | 256
| | | | | | | 1 | 4 | 6 | 28 | 86 | 215
| | | | | | | | 1 | 5 | 6 | 34 | 120
| | | | | | | | | 1 | 6 | 12 | 46
| | | | | | | | | | 1 | 7 | 19
| | | | | | | | | | | 1 | 8
| | | | | | | | | | | | 1
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