Generating function
$$U_{24}(x, y) = \frac{- x - 1}{y \left(x^{2} + x\right) - 1}$$
Explicit formula
$$T_{24}(n, m, k) = \frac{k {\binom{k + m}{m}} {\binom{k + m}{- m + n}}}{k + m}$$
1 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 1 | 0 | 0 | 0 | 0 | 0 |
0 | 2 | 1 | 0 | 0 | 0 | 0 |
0 | 1 | 3 | 1 | 0 | 0 | 0 |
0 | 0 | 3 | 4 | 1 | 0 | 0 |
0 | 0 | 1 | 6 | 5 | 1 | 0 |
0 | 0 | 0 | 4 | 1 | 6 | 1 |
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