Generating function
$$U_{80}(x, y) = \frac{- x^{2} - 2 x - 1}{y \left(x^{2} + 2 x + 1\right) - 1}$$
Explicit formula
$$T_{80}(n, m, k) = {\binom{2 k + 2 m}{n}} {\binom{k + m - 1}{m}}$$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 2 | 4 | 6 | 8 | 1 | 12 | 14 |
| 1 | 6 | 15 | 28 | 45 | 66 | 91 |
| 0 | 4 | 2 | 56 | 12 | 22 | 364 |
| 0 | 1 | 15 | 7 | 21 | 495 | 1001 |
| 0 | 0 | 6 | 56 | 252 | 792 | 2002 |
| 0 | 0 | 1 | 28 | 21 | 924 | 3003 |
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