Generating function
$$U_{881}(x, y) = \frac{\left(2 - 2 \cos{\left(\frac{2 \arcsin{\left(\frac{3 \sqrt{3} \sqrt{x \left(y + 1\right)}}{2} \right)}}{3} \right)}\right) \left(y + 1\right)^{2}}{3 x}$$
Explicit formula
$$T_{881}(n, m, k) = \frac{k {\binom{3 k + n}{m}} {\binom{2 k + 3 n - 1}{n}}}{k + n}$$
1 | 3 | 3 | 1 | 0 | 0 | 0 |
2 | 8 | 12 | 8 | 2 | 0 | 0 |
7 | 35 | 7 | 7 | 35 | 7 | 0 |
3 | 18 | 45 | 6 | 45 | 18 | 3 |
143 | 1001 | 3003 | 5005 | 5005 | 3003 | 1001 |
728 | 5824 | 20384 | 40768 | 5096 | 40768 | 20384 |
3876 | 34884 | 139536 | 325584 | 488376 | 488376 | 325584 |
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