Generating function
$$U_{48}(x, y) = \frac{x - 1}{y - \left(1 - x\right)^{2}}$$
Explicit formula
$$T_{48}(n, m, k) = \begin{cases}1&\text{if m=0} ,\ \\{\binom{k + m - 1}{m}} {\binom{k + 2 m + n - 1}{n}} \end{cases} $$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 3 | 5 | 7 | 9 | 11 | 13 |
| 1 | 6 | 15 | 28 | 45 | 66 | 91 |
| 1 | 1 | 35 | 84 | 165 | 286 | 455 |
| 1 | 15 | 7 | 21 | 495 | 1001 | 182 |
| 1 | 21 | 126 | 462 | 1287 | 3003 | 6188 |
| 1 | 28 | 21 | 924 | 3003 | 8008 | 18564 |
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