A193515 as a triangular array
| | | | | | | | | | | | | 1 |
| | | | | | | | | | | | | 1 | | 1 |
| | | | | | | | | | | | 1 | | 1 | | 2 |
| | | | | | | | | | | 1 | | 1 | | 3 | | 3 |
| | | | | | | | | | 1 | | 1 | | 4 | | 5 | | 4 |
| | | | | | | | | 1 | | 1 | | 5 | | 7 | | 7 | | 6 |
| | | | | | | | 1 | | 1 | | 6 | | 9 | | 10 | | 13 | | 9 |
| | | | | | | 1 | | 1 | | 7 | | 11 | | 13 | | 22 | | 23 | | 13 |
| | | | | | 1 | | 1 | | 8 | | 13 | | 16 | | 33 | | 43 | | 37 | | 19 |
| | | | | 1 | | 1 | | 9 | | 15 | | 19 | | 46 | | 69 | | 73 | | 63 | | 28 |
| | | | 1 | | 1 | | 10 | | 17 | | 22 | | 61 | | 101 | | 121 | | 139 | | 109 | | 41 |
| | | 1 | | 1 | | 11 | | 19 | | 25 | | 78 | | 139 | | 181 | | 253 | | 268 | | 183 | | 60 |
| | 1 | | 1 | | 12 |
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A193515 as a square array
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1
| 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12
| 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19
| 4 | 7 | 10 | 13 | 16 | 19 | 22 | 25
| 6 | 13 | 22 | 33 | 46 | 61 | 78
| 9 | 23 | 43 | 69 | 101 | 139
| 13 | 37 | 73 | 121 | 181
| 19 | 63 | 139 | 253
| 28 | 109 | 268
| 41 | 183
| 60
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A193515 as an upper right triangle
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1
| | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1
| | | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12
| | | | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19
| | | | | 4 | 7 | 10 | 13 | 16 | 19 | 22 | 25
| | | | | | 6 | 13 | 22 | 33 | 46 | 61 | 78
| | | | | | | 9 | 23 | 43 | 69 | 101 | 139
| | | | | | | | 13 | 37 | 73 | 121 | 181
| | | | | | | | | 19 | 63 | 139 | 253
| | | | | | | | | | 28 | 109 | 268
| | | | | | | | | | | 41 | 183
| | | | | | | | | | | | 60
| | | | | | | | | | | |
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