Generating function
$$U_{26}(x, y) = \frac{1 - \sqrt{y \left(- 4 x^{3} - 8 x^{2} - 4 x\right) + 1}}{x y \left(2 x + 2\right)}$$
Explicit formula
$$T_{26}(n, m, k) = \frac{k {\binom{k + 2 m}{m}} {\binom{k + 2 m}{- m + n}}}{k + 2 m}$$
1 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 1 | 0 | 0 | 0 | 0 | 0 |
0 | 3 | 2 | 0 | 0 | 0 | 0 |
0 | 3 | 1 | 5 | 0 | 0 | 0 |
0 | 1 | 2 | 35 | 14 | 0 | 0 |
0 | 0 | 2 | 105 | 126 | 42 | 0 |
0 | 0 | 1 | 175 | 504 | 462 | 132 |
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