Generating function
$$U_{895}(x, y) = \frac{2 - 2 \cos{\left(\frac{2 \operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{\frac{x}{1 - y}}}{2} \right)}}{3} \right)}}{3 x \left(1 - y\right)^{2}}$$
Explicit formula
$$T_{895}(n, m, k) = \frac{k {\binom{2 k + 3 n - 1}{n}} {\binom{3 k + m + n - 1}{m}}}{k + n}$$
1 | 3 | 6 | 1 | 15 | 21 | 28 |
2 | 8 | 2 | 4 | 7 | 112 | 168 |
7 | 35 | 105 | 245 | 49 | 882 | 147 |
3 | 18 | 63 | 168 | 378 | 756 | 1386 |
143 | 1001 | 4004 | 12012 | 3003 | 66066 | 132132 |
728 | 5824 | 26208 | 8736 | 24024 | 576576 | 1249248 |
3876 | 34884 | 17442 | 63954 | 191862 | 4988412 | 11639628 |
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