Generating function
$$U_{175}(x, y) = \frac{- x - 1}{y \left(x^{3} + 3 x^{2} + 3 x + 1\right) - 1}$$
Explicit formula
$$T_{175}(n, m, k) = \frac{k {\binom{k + m}{m}} {\binom{k + 3 m}{n}}}{k + m}$$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 4 | 7 | 1 | 13 | 16 | 19 |
| 0 | 6 | 21 | 45 | 78 | 12 | 171 |
| 0 | 4 | 35 | 12 | 286 | 56 | 969 |
| 0 | 1 | 35 | 21 | 715 | 182 | 3876 |
| 0 | 0 | 21 | 252 | 1287 | 4368 | 11628 |
| 0 | 0 | 7 | 21 | 1716 | 8008 | 27132 |
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