Generating function
$$U_{887}(x, y) = \frac{2 - 2 \cos{\left(\frac{2 \arcsin{\left(\frac{3 \sqrt{3} \sqrt{x} \operatorname{abs}{\left(y + 1 \right)}}{2} \right)}}{3} \right)}}{3 x}$$
Explicit formula
$$T_{887}(n, m, k) = \frac{k {\binom{2 k + 2 n}{m}} {\binom{2 k + 3 n - 1}{n}}}{k + n}$$
1 | 2 | 1 | 0 | 0 | 0 | 0 |
2 | 8 | 12 | 8 | 2 | 0 | 0 |
7 | 42 | 105 | 14 | 105 | 42 | 7 |
3 | 24 | 84 | 168 | 21 | 168 | 84 |
143 | 143 | 6435 | 1716 | 3003 | 36036 | 3003 |
728 | 8736 | 48048 | 16016 | 36036 | 576576 | 672672 |
3876 | 54264 | 352716 | 1410864 | 3879876 | 7759752 | 11639628 |
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