Generating function
$$U_{1436}(x, y) = \frac{\left(y + 1\right)^{3}}{\left(- x \left(y + 1\right) + 1\right)^{2}}$$
Explicit formula
$$T_{1436}(n, m, k) = {\binom{3 k + n}{m}} {\binom{2 k + n - 1}{n}}$$
1 | 3 | 3 | 1 | 0 | 0 | 0 |
2 | 8 | 12 | 8 | 2 | 0 | 0 |
3 | 15 | 3 | 3 | 15 | 3 | 0 |
4 | 24 | 6 | 8 | 6 | 24 | 4 |
5 | 35 | 105 | 175 | 175 | 105 | 35 |
6 | 48 | 168 | 336 | 42 | 336 | 168 |
7 | 63 | 252 | 588 | 882 | 882 | 588 |
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