Generating function
$$U_{920}(x, y) = \frac{\sqrt{y \left(- 8 x - 8\right) + 1}}{4} + \frac{1}{4}$$
Explicit formula
$$T_{920}(n, m, k) = \begin{cases}0&\text{if m = 0, n > 0} ,\ \\2^{- k}&\text{if n = 0, m = 0} ,\ \\- \frac{2^{- k + m} k {\binom{m}{n}} {\binom{- k + 2 m - 1}{m - 1}}}{m}&\text{if m > 0} \end{cases} $$
0.5 | -1 | -2 | -8 | -4 | -224 | -1344 |
0 | -1 | -4 | -24 | -16 | -112 | -8064 |
0 | 0 | -2 | -24 | -24 | -224 | -2016 |
0 | 0 | 0 | -8 | -16 | -224 | -2688 |
0 | 0 | 0 | 0 | -4 | -112 | -2016 |
0 | 0 | 0 | 0 | 0 | -224 | -8064 |
0 | 0 | 0 | 0 | 0 | 0 | -1344 |
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