Generating function
$$U_{884}(x, y) = \frac{2 - 2 \cos{\left(\frac{2 \arcsin{\left(\frac{3 \sqrt{3} \sqrt{x} \operatorname{abs}{\left(y + 1 \right)}}{2} \right)}}{3} \right)}}{3 x \left(y + 1\right)}$$
Explicit formula
$$T_{884}(n, m, k) = \frac{k {\binom{k + 2 n}{m}} {\binom{2 k + 3 n - 1}{n}}}{k + n}$$
1 | 1 | 0 | 0 | 0 | 0 | 0 |
2 | 6 | 6 | 2 | 0 | 0 | 0 |
7 | 35 | 7 | 7 | 35 | 7 | 0 |
3 | 21 | 63 | 105 | 105 | 63 | 21 |
143 | 1287 | 5148 | 12012 | 18018 | 18018 | 12012 |
728 | 8008 | 4004 | 12012 | 24024 | 336336 | 336336 |
3876 | 50388 | 302328 | 1108536 | 277134 | 4988412 | 6651216 |
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