Generating function
$$U_{356}(x, y) = \frac{y}{2} - \frac{\sqrt{4 x + \left(y + 1\right)^{2}}}{2} + \frac{1}{2}$$
Explicit formula
$$T_{356}(n, m, k) = \begin{cases}0&\text{if n<k} ,\ \\- \frac{k {\binom{m + n}{m}} {\binom{k - n - 1}{m + n - 1}}}{m + n} \end{cases} $$
0 | 0 | 0 | 0 | 0 | 0 | 0 |
-1 | 1 | -1 | 1 | -1 | 1 | -1 |
1 | -3 | 6 | -1 | 15 | -21 | 28 |
-2 | 1 | -3 | 7 | -14 | 252 | -42 |
5 | -35 | 14 | -42 | 105 | -231 | 462 |
-14 | 126 | -63 | 231 | -693 | 18018 | -42042 |
42 | -462 | 2772 | -12012 | 42042 | -126126 | 336336 |
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