A053123 as a triangular array
| | | | | | | | | | | | 1 |
| | | | | | | | | | | | 1 | | -2 |
| | | | | | | | | | | 1 | | -4 | | 3 |
| | | | | | | | | | 1 | | -6 | | 10 | | -4 |
| | | | | | | | | 1 | | -8 | | 21 | | -20 | | 5 |
| | | | | | | | 1 | | -10 | | 36 | | -56 | | 35 | | -6 |
| | | | | | | 1 | | -12 | | 55 | | -120 | | 126 | | -56 | | 7 |
| | | | | | 1 | | -14 | | 78 | | -220 | | 330 | | -252 | | 84 | | -8 |
| | | | | 1 | | -16 | | 105 | | -364 | | 715 | | -792 | | 462 | | -120 | | 9 |
| | | | 1 | | -18 | | 136 | | -560 | | 1365 | | -2002 | | 1716 | | -792 | | 165 | | -10 |
| | | 1 | | -20 | | 171 | | -816 | | 2380 | | -4368 | | 5005 | | -3432 | | 1287 | | -220 | | 11 |
| | 1 |
|
A053123 as a square array
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1
| -2 | -4 | -6 | -8 | -10 | -12 | -14 | -16 | -18 | -20
| 3 | 10 | 21 | 36 | 55 | 78 | 105 | 136 | 171
| -4 | -20 | -56 | -120 | -220 | -364 | -560 | -816
| 5 | 35 | 126 | 330 | 715 | 1365 | 2380
| -6 | -56 | -252 | -792 | -2002 | -4368
| 7 | 84 | 462 | 1716 | 5005
| -8 | -120 | -792 | -3432
| 9 | 165 | 1287
| -10 | -220
| 11
|
A053123 as an upper right triangle
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1
| | -2 | -4 | -6 | -8 | -10 | -12 | -14 | -16 | -18 | -20
| | | 3 | 10 | 21 | 36 | 55 | 78 | 105 | 136 | 171
| | | | -4 | -20 | -56 | -120 | -220 | -364 | -560 | -816
| | | | | 5 | 35 | 126 | 330 | 715 | 1365 | 2380
| | | | | | -6 | -56 | -252 | -792 | -2002 | -4368
| | | | | | | 7 | 84 | 462 | 1716 | 5005
| | | | | | | | -8 | -120 | -792 | -3432
| | | | | | | | | 9 | 165 | 1287
| | | | | | | | | | -10 | -220
| | | | | | | | | | | 11
| | | | | | | | | | |
|
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