Generating function
$$U_{358}(x, y) = \frac{1 - \sqrt{- 4 x y^{2} - 8 x y - 4 x + 1}}{2 x}$$
Explicit formula
$$T_{358}(n, m, k) = \frac{k {\binom{2 k + 2 n}{m}} {\binom{k + 2 n - 1}{n}}}{k + n}$$
| 1 | 2 | 1 | 0 | 0 | 0 | 0 |
| 1 | 4 | 6 | 4 | 1 | 0 | 0 |
| 2 | 12 | 3 | 4 | 3 | 12 | 2 |
| 5 | 4 | 14 | 28 | 35 | 28 | 14 |
| 14 | 14 | 63 | 168 | 294 | 3528 | 294 |
| 42 | 504 | 2772 | 924 | 2079 | 33264 | 38808 |
| 132 | 1848 | 12012 | 48048 | 132132 | 264264 | 396396 |
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