Generating function
$$U_{298}(x, y) = \frac{1 - \sqrt{- 4 x y^{2} - 4 x + 1}}{2 x}$$
Explicit formula
$$T_{298}(n, m, k) = \frac{k \left(\left(-1\right)^{m} + 1\right) {\binom{k + n}{\frac{m}{2}}} {\binom{k + 2 n - 1}{n}}}{2 k + 2 n}$$
1 | 0 | 1 | 0 | 0 | 0 | 0 |
1 | 0 | 2 | 0 | 1 | 0 | 0 |
2 | 0 | 6 | 0 | 6 | 0 | 2 |
5 | 0 | 2 | 0 | 3 | 0 | 2 |
14 | 0 | 7 | 0 | 14 | 0 | 14 |
42 | 0 | 252 | 0 | 63 | 0 | 84 |
132 | 0 | 924 | 0 | 2772 | 0 | 462 |
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