A181971 as a triangular array
| | | | | | | | | | | | 1 |
| | | | | | | | | | | | 1 | | 2 |
| | | | | | | | | | | 1 | | 3 | | 2 |
| | | | | | | | | | 1 | | 4 | | 5 | | 3 |
| | | | | | | | | 1 | | 5 | | 9 | | 8 | | 3 |
| | | | | | | | 1 | | 6 | | 14 | | 17 | | 11 | | 4 |
| | | | | | | 1 | | 7 | | 20 | | 31 | | 28 | | 15 | | 4 |
| | | | | | 1 | | 8 | | 27 | | 51 | | 59 | | 43 | | 19 | | 5 |
| | | | | 1 | | 9 | | 35 | | 78 | | 110 | | 102 | | 62 | | 24 | | 5 |
| | | | 1 | | 10 | | 44 | | 113 | | 188 | | 212 | | 164 | | 86 | | 29 | | 6 |
| | | 1 | | 11 | | 54 | | 157 | | 301 | | 400 | | 376 | | 250 | | 115 | | 35 | | 6 |
| | 1 | | 12 | | 65 | | 211 | | 458 | | 701 | | 776 | | 626 | | 365 | | 150 | | 41 | | 7 |
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A181971 as a square array
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1
| 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12
| 2 | 5 | 9 | 14 | 20 | 27 | 35 | 44 | 54 | 65
| 3 | 8 | 17 | 31 | 51 | 78 | 113 | 157 | 211
| 3 | 11 | 28 | 59 | 110 | 188 | 301 | 458
| 4 | 15 | 43 | 102 | 212 | 400 | 701
| 4 | 19 | 62 | 164 | 376 | 776
| 5 | 24 | 86 | 250 | 626
| 5 | 29 | 115 | 365
| 6 | 35 | 150
| 6 | 41
| 7
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A181971 as an upper right triangle
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1
| | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12
| | | 2 | 5 | 9 | 14 | 20 | 27 | 35 | 44 | 54 | 65
| | | | 3 | 8 | 17 | 31 | 51 | 78 | 113 | 157 | 211
| | | | | 3 | 11 | 28 | 59 | 110 | 188 | 301 | 458
| | | | | | 4 | 15 | 43 | 102 | 212 | 400 | 701
| | | | | | | 4 | 19 | 62 | 164 | 376 | 776
| | | | | | | | 5 | 24 | 86 | 250 | 626
| | | | | | | | | 5 | 29 | 115 | 365
| | | | | | | | | | 6 | 35 | 150
| | | | | | | | | | | 6 | 41
| | | | | | | | | | | | 7
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