Generating function
$$U_{266}(x, y) = \frac{1 - \sqrt{- 4 x - 4 y^{2} + 1}}{2 x + 2 y^{2}}$$
Explicit formula
$$T_{266}(n, m, k) = \frac{k \left(\left(-1\right)^{m} + 1\right) {\binom{\frac{m}{2} + n}{n}} {\binom{k + m + 2 n - 1}{\frac{m}{2} + n}}}{2 k + m + 2 n}$$
1 | 0 | 1 | 0 | 2 | 0 | 5 |
1 | 0 | 4 | 0 | 15 | 0 | 56 |
2 | 0 | 15 | 0 | 84 | 0 | 420 |
5 | 0 | 56 | 0 | 420 | 0 | 2640 |
14 | 0 | 210 | 0 | 1980 | 0 | 15015 |
42 | 0 | 792 | 0 | 9009 | 0 | 80080 |
132 | 0 | 3003 | 0 | 40040 | 0 | 408408 |
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