Generating function
$$U_{102}(x, y) = \frac{1}{\sqrt{- 4 y + \left(x - 1\right)^{2}}}$$
Explicit formula
$$T_{102}(n, m, k) = 4^{m} {\binom{\frac{k}{2} + m - 1}{m}} {\binom{k + 2 m + n - 1}{n}}$$
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
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