Generating function
$$U_{1448}(x, y) = \frac{1}{\left(1 - y\right) \left(- \frac{x}{\left(1 - y\right)^{2}} + 1\right)^{2}}$$
Explicit formula
$$T_{1448}(n, m, k) = {\binom{2 k + n - 1}{n}} {\binom{k + m + 2 n - 1}{m}}$$
1 | 1 | 1 | 1 | 1 | 1 | 1 |
2 | 6 | 12 | 2 | 3 | 42 | 56 |
3 | 15 | 45 | 105 | 21 | 378 | 63 |
4 | 28 | 112 | 336 | 84 | 1848 | 3696 |
5 | 45 | 225 | 825 | 2475 | 6435 | 15015 |
6 | 66 | 396 | 1716 | 6006 | 18018 | 48048 |
7 | 91 | 637 | 3185 | 1274 | 43316 | 129948 |
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