A122177 as a triangular array
| | | | | | | | | | | 1 |
| | | | | | | | | | | 3 | | 1 |
| | | | | | | | | | 6 | | 4 | | 1 |
| | | | | | | | | 10 | | 10 | | 6 | | 1 |
| | | | | | | | 15 | | 20 | | 21 | | 9 | | 1 |
| | | | | | | 21 | | 35 | | 56 | | 45 | | 13 | | 1 |
| | | | | | 28 | | 56 | | 126 | | 165 | | 91 | | 18 | | 1 |
| | | | | 36 | | 84 | | 252 | | 495 | | 455 | | 171 | | 24 | | 1 |
| | | | 45 | | 120 | | 462 | | 1287 | | 1820 | | 1140 | | 300 | | 31 | | 1 |
| | | 55 | | 165 | | 792 | | 3003 | | 6188 | | 5985 | | 2600 | | 496 | | 39 | | 1 |
| | 66 | | 220 | | 1287 | | 6435 | | 18564 | | 26334 |
|
A122177 as a square array
1 | 3 | 6 | 10 | 15 | 21 | 28 | 36 | 45 | 55 | 66
| 1 | 4 | 10 | 20 | 35 | 56 | 84 | 120 | 165 | 220
| 1 | 6 | 21 | 56 | 126 | 252 | 462 | 792 | 1287
| 1 | 9 | 45 | 165 | 495 | 1287 | 3003 | 6435
| 1 | 13 | 91 | 455 | 1820 | 6188 | 18564
| 1 | 18 | 171 | 1140 | 5985 | 26334
| 1 | 24 | 300 | 2600
| 1 | 31 | 496
| 1 | 39
| 1
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A122177 as an upper right triangle
1 | 3 | 6 | 10 | 15 | 21 | 28 | 36 | 45 | 55 | 66
| | 1 | 4 | 10 | 20 | 35 | 56 | 84 | 120 | 165 | 220
| | | 1 | 6 | 21 | 56 | 126 | 252 | 462 | 792 | 1287
| | | | 1 | 9 | 45 | 165 | 495 | 1287 | 3003 | 6435
| | | | | 1 | 13 | 91 | 455 | 1820 | 6188 | 18564
| | | | | | 1 | 18 | 171 | 1140 | 5985 | 26334
| | | | | | | 1 | 24 | 300 | 2600
| | | | | | | | 1 | 31 | 496
| | | | | | | | | 1 | 39
| | | | | | | | | | 1
| | | | | | | | | |
|
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