A137683 as a triangular array
| | | | | | | | | | | 1 |
| | | | | | | | | | | 0 | | 1 |
| | | | | | | | | | 3 | | -2 | | 1 |
| | | | | | | | | 1 | | 4 | | -3 | | 1 |
| | | | | | | | 5 | | -3 | | 6 | | -4 | | 1 |
| | | | | | | 5 | | 5 | | -9 | | 10 | | -5 | | 1 |
| | | | | | 11 | | -6 | | 16 | | -20 | | 15 | | -6 | | 1 |
| | | | | 10 | | 12 | | -23 | | 36 | | -35 | | 21 | | -7 | | 1 |
| | | | 20 | | -5 | | 27 | | -55 | | 70 | | -56 | | 28 | | -8 | | 1 |
| | | 24 | | 11 | | -31 | | 81 | | -125 | | 126 | | -84 | | 36 | | -9 | | 1 |
| | 38 | | -9 | | 51 | | -123 | | 211 | | -252 | | 210 | | -120 | | 45 | | -10 | | 1 |
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A137683 as a square array
1 | 0 | 3 | 1 | 5 | 5 | 11 | 10 | 20 | 24 | 38
| 1 | -2 | 4 | -3 | 5 | -6 | 12 | -5 | 11 | -9
| 1 | -3 | 6 | -9 | 16 | -23 | 27 | -31 | 51
| 1 | -4 | 10 | -20 | 36 | -55 | 81 | -123
| 1 | -5 | 15 | -35 | 70 | -125 | 211
| 1 | -6 | 21 | -56 | 126 | -252
| 1 | -7 | 28 | -84 | 210
| 1 | -8 | 36 | -120
| 1 | -9 | 45
| 1 | -10
| 1
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A137683 as an upper right triangle
1 | 0 | 3 | 1 | 5 | 5 | 11 | 10 | 20 | 24 | 38
| | 1 | -2 | 4 | -3 | 5 | -6 | 12 | -5 | 11 | -9
| | | 1 | -3 | 6 | -9 | 16 | -23 | 27 | -31 | 51
| | | | 1 | -4 | 10 | -20 | 36 | -55 | 81 | -123
| | | | | 1 | -5 | 15 | -35 | 70 | -125 | 211
| | | | | | 1 | -6 | 21 | -56 | 126 | -252
| | | | | | | 1 | -7 | 28 | -84 | 210
| | | | | | | | 1 | -8 | 36 | -120
| | | | | | | | | 1 | -9 | 45
| | | | | | | | | | 1 | -10
| | | | | | | | | | | 1
|
|