A112564 as a triangular array
| | | | | | | | | | | | 1 |
| | | | | | | | | | | | 1 | | 1 |
| | | | | | | | | | | 1 | | 2 | | 1 |
| | | | | | | | | | 1 | | 3 | | 4 | | 1 |
| | | | | | | | | 1 | | 4 | | 7 | | 6 | | 1 |
| | | | | | | | 1 | | 5 | | 13 | | 13 | | 10 | | 1 |
| | | | | | | 1 | | 6 | | 21 | | 28 | | 19 | | 12 | | 1 |
| | | | | | 1 | | 7 | | 31 | | 61 | | 61 | | 27 | | 18 | | 1 |
| | | | | 1 | | 8 | | 43 | | 96 | | 125 | | 88 | | 39 | | 22 | | 1 |
| | | | 1 | | 9 | | 57 | | 169 | | 241 | | 261 | | 133 | | 49 | | 30 | | 1 |
| | | 1 | | 10 | | 73 | | 232 | | 505 | | 546 | | 421 | | 208 | | 63 | | 34 | | 1 |
| | 1 | | 11 | | 91 | | 361 | | 785 | | 1051 | | 1171 | | 605 | | 313 |
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A112564 as a square array
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1
| | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11
| | 1 | 4 | 7 | 13 | 21 | 31 | 43 | 57 | 73 | 91
| | 1 | 6 | 13 | 28 | 61 | 96 | 169 | 232 | 361
| | 1 | 10 | 19 | 61 | 125 | 241 | 505 | 785
| | 1 | 12 | 27 | 88 | 261 | 546 | 1051
| | 1 | 18 | 39 | 133 | 421 | 1171
| | 1 | 22 | 49 | 208 | 605
| | 1 | 30 | 63 | 313
| | 1 | 34
| | 1
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A112564 as an upper right triangle
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1
| | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11
| | | 1 | 4 | 7 | 13 | 21 | 31 | 43 | 57 | 73 | 91
| | | | 1 | 6 | 13 | 28 | 61 | 96 | 169 | 232 | 361
| | | | | 1 | 10 | 19 | 61 | 125 | 241 | 505 | 785
| | | | | | 1 | 12 | 27 | 88 | 261 | 546 | 1051
| | | | | | | 1 | 18 | 39 | 133 | 421 | 1171
| | | | | | | | 1 | 22 | 49 | 208 | 605
| | | | | | | | | 1 | 30 | 63 | 313
| | | | | | | | | | 1 | 34
| | | | | | | | | | | 1
| | | | | | | | | | |
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