Generating function
$$U_{723}(x, y) = \frac{1 - \sqrt{y^{2} \left(- 4 x - 4\right) + 1}}{2 y^{2}}$$
Explicit formula
$$T_{723}(n, m, k) = \frac{k \left(\left(-1\right)^{m} + 1\right) {\binom{k + m}{n}} {\binom{k + m - n}{\frac{m}{2}}}}{2 k + 2 m}$$
1 | 0 | 1 | 0 | 2 | 0 | 5 |
1 | 0 | 2 | 0 | 6 | 0 | 2 |
0 | 0 | 1 | 0 | 6 | 0 | 3 |
0 | 0 | 0 | 0 | 2 | 0 | 2 |
0 | 0 | 0 | 0 | 0 | 0 | 5 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
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