Generating function
$$U_{1058}(x, y) = \frac{\left(1 - \sqrt{1 - 4 x}\right)^{2} \left(y + 1\right)^{3}}{4 x^{2}}$$
Explicit formula
$$T_{1058}(n, m, k) = \frac{2 k {\binom{3 k}{m}} {\binom{2 k + 2 n - 1}{n}}}{2 k + n}$$
1 | 3 | 3 | 1 | 0 | 0 | 0 |
2 | 6 | 6 | 2 | 0 | 0 | 0 |
5 | 15 | 15 | 5 | 0 | 0 | 0 |
14 | 42 | 42 | 14 | 0 | 0 | 0 |
42 | 126 | 126 | 42 | 0 | 0 | 0 |
132 | 396 | 396 | 132 | 0 | 0 | 0 |
429 | 1287 | 1287 | 429 | 0 | 0 | 0 |
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