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
$$T_{1448}(n, m, k) = {\binom{2 k + n - 1}{n}} {\binom{k + m + 2 n - 1}{m}}$$
Data table
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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