Generating function
$$U_{452}(x, y) = \frac{- x - 2 y - \sqrt{x^{2} + 4 x y - 2 x + 1} + 1}{2 y^{2} - 2 y}$$
Explicit formula
$$T_{452}(n, m, k) = \frac{k {\binom{k + m - n}{m}} {\binom{k + m + n - 1}{n}}}{k + m}$$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | -2 | 0 | 0 | 0 | 0 | 0 |
| 1 | -5 | 5 | 0 | 0 | 0 | 0 |
| 1 | -9 | 21 | -14 | 0 | 0 | 0 |
| 1 | -14 | 56 | -84 | 42 | 0 | 0 |
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