Generating function
$$U_{136}(x, y) = \frac{2 x + y - \sqrt{4 x + y^{2} + y \left(4 x + 2\right) + 1} + 1}{2 x^{2}}$$
Explicit formula
$$T_{136}(n, m, k) = \frac{\left(-1\right)^{m + n} k {\binom{2 k + 2 n}{n}} {\binom{k + m + n}{m}}}{k + m + n}$$
1 | -1 | 1 | -1 | 1 | -1 | 1 |
-2 | 4 | -6 | 8 | -1 | 12 | -14 |
5 | -15 | 3 | -5 | 75 | -105 | 14 |
-14 | 56 | -14 | 28 | -49 | 784 | -1176 |
42 | -21 | 63 | -147 | 294 | -5292 | 882 |
-132 | 792 | -2772 | 7392 | -16632 | 33264 | -60984 |
429 | -3003 | 12012 | -36036 | 9009 | -198198 | 396396 |
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