Generating function
$$U_{776}(x, y) = \frac{\left(y + 1\right)^{6}}{\left(- x + \left(y + 1\right)^{2}\right)^{2}}$$
Explicit formula
$$T_{776}(n, m, k) = {\binom{2 k - 2 n}{m}} {\binom{2 k + n - 1}{n}}$$
| 1 | 2 | 1 | 0 | 0 | 0 | 0 |
| 2 | 0 | 0 | 0 | 0 | 0 | 0 |
| 3 | -6 | 9 | -12 | 15 | -18 | 21 |
| 4 | -16 | 4 | -8 | 14 | -224 | 336 |
| 5 | -3 | 105 | -28 | 63 | -126 | 231 |
| 6 | -48 | 216 | -72 | 198 | -4752 | 10296 |
| 7 | -7 | 385 | -154 | 5005 | -14014 | 35035 |
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