Generating function
$$U_{337}(x, y) = \left(1 - y\right) \left(x + \frac{1}{1 - y}\right)^{2}$$
Explicit formula
$$T_{337}(n, m, k) = {\binom{2 k}{n}} {\binom{k + m - n - 1}{m}}$$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 2 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | -1 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
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