A051031 as a triangular array
| | | | | | | | | | | | | 1 |
| | | | | | | | | | | | | 1 | | 1 |
| | | | | | | | | | | | 1 | | 0 | | 1 |
| | | | | | | | | | | 1 | | 1 | | 1 | | 1 |
| | | | | | | | | | 1 | | 0 | | 1 | | 0 | | 1 |
| | | | | | | | | 1 | | 1 | | 2 | | 2 | | 1 | | 1 |
| | | | | | | | 1 | | 0 | | 2 | | 0 | | 2 | | 0 | | 1 |
| | | | | | | 1 | | 1 | | 3 | | 6 | | 6 | | 3 | | 1 | | 1 |
| | | | | | 1 | | 0 | | 4 | | 0 | | 16 | | 0 | | 4 | | 0 | | 1 |
| | | | | 1 | | 1 | | 5 | | 21 | | 60 | | 60 | | 21 | | 5 | | 1 | | 1 |
| | | | 1 | | 0 | | 6 | | 0 | | 266 | | 0 | | 266 | | 0 | | 6 | | 0 | | 1 |
| | | 1 | | 1 | | 9 | | 94 | | 1547 | | 7849 | | 7849 | | 1547 | | 94 | | 9 | | 1 | | 1 |
| | 1 | | 0 | | 10 | | 0 | | 10786 | | 0 | | 367860 | | 0 | | 10786 |
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A051031 as a square array
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1
| | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0
| | 1 | 1 | 1 | 2 | 2 | 3 | 4 | 5 | 6 | 9 | 10
| | 1 | 0 | 2 | 0 | 6 | 0 | 21 | 0 | 94 | 0
| | 1 | 1 | 2 | 6 | 16 | 60 | 266 | 1547 | 10786
| | 1 | 0 | 3 | 0 | 60 | 0 | 7849 | 0
| | 1 | 1 | 4 | 21 | 266 | 7849 | 367860
| | 1 | 0 | 5 | 0 | 1547 | 0
| | 1 | 1 | 6 | 94 | 10786
| | 1 | 0 | 9
| | 1 | 1
| | 1
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A051031 as an upper right triangle
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1
| | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0
| | | 1 | 1 | 1 | 2 | 2 | 3 | 4 | 5 | 6 | 9 | 10
| | | | 1 | 0 | 2 | 0 | 6 | 0 | 21 | 0 | 94 | 0
| | | | | 1 | 1 | 2 | 6 | 16 | 60 | 266 | 1547 | 10786
| | | | | | 1 | 0 | 3 | 0 | 60 | 0 | 7849 | 0
| | | | | | | 1 | 1 | 4 | 21 | 266 | 7849 | 367860
| | | | | | | | 1 | 0 | 5 | 0 | 1547 | 0
| | | | | | | | | 1 | 1 | 6 | 94 | 10786
| | | | | | | | | | 1 | 0 | 9
| | | | | | | | | | | 1 | 1
| | | | | | | | | | | | 1
| | | | | | | | | | | |
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