Generating function
$$U_{203}(x, y) = \frac{2 x - \sqrt{y \left(- 4 x^{2} - 4 x\right) + 1} + 1}{2 x^{2} + 2 x}$$
Explicit formula
$$T_{203}(n, m, k) = \frac{k {\binom{k + n}{m}} {\binom{- k + 2 m - 1}{n}}}{k + n}$$
1 | 1 | 0 | 0 | 0 | 0 | 0 |
-1 | 0 | 1 | 0 | 0 | 0 | 0 |
1 | 0 | 1 | 2 | 0 | 0 | 0 |
-1 | 0 | 0 | 4 | 5 | 0 | 0 |
1 | 0 | 0 | 2 | 15 | 14 | 0 |
-1 | 0 | 0 | 0 | 15 | 56 | 42 |
1 | 0 | 0 | 0 | 5 | 84 | 21 |
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