A047100 as a triangular array
| | | | | | | | | | | | 1 |
| | | | | | | | | | | | 1 | | 1 |
| | | | | | | | | | | 1 | | 1 | | 1 |
| | | | | | | | | | 1 | | 2 | | 1 | | 1 |
| | | | | | | | | 1 | | 3 | | 3 | | 2 | | 1 |
| | | | | | | | 1 | | 4 | | 6 | | 5 | | 3 | | 1 |
| | | | | | | 1 | | 5 | | 10 | | 11 | | 5 | | 4 | | 1 |
| | | | | | 1 | | 6 | | 15 | | 21 | | 16 | | 5 | | 5 | | 1 |
| | | | | 1 | | 7 | | 21 | | 36 | | 37 | | 21 | | 10 | | 6 | | 1 |
| | | | 1 | | 8 | | 28 | | 57 | | 73 | | 58 | | 31 | | 16 | | 7 | | 1 |
| | | 1 | | 9 | | 36 | | 85 | | 130 | | 131 | | 89 | | 31 | | 23 | | 8 | | 1 |
| | 1 | | 10 | | 45 | | 121 | | 215 | | 261 | | 220 |
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A047100 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 | 2 | 5 | 11 | 21 | 36 | 57 | 85 | 121
| 1 | 3 | 5 | 16 | 37 | 73 | 130 | 215
| 1 | 4 | 5 | 21 | 58 | 131 | 261
| 1 | 5 | 10 | 31 | 89 | 220
| 1 | 6 | 16 | 31
| 1 | 7 | 23
| 1 | 8
| 1
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A047100 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 | 2 | 5 | 11 | 21 | 36 | 57 | 85 | 121
| | | | | 1 | 3 | 5 | 16 | 37 | 73 | 130 | 215
| | | | | | 1 | 4 | 5 | 21 | 58 | 131 | 261
| | | | | | | 1 | 5 | 10 | 31 | 89 | 220
| | | | | | | | 1 | 6 | 16 | 31
| | | | | | | | | 1 | 7 | 23
| | | | | | | | | | 1 | 8
| | | | | | | | | | | 1
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