Generating function
$$U_{286}(x, y) = - \frac{2 \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{- \sqrt{3} \sqrt{x} + 2 y \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}$$
Explicit formula
$$T_{286}(n, m, k) = \frac{k {\binom{k + m}{m}} {\binom{k + m + 3 n - 1}{n}}}{k + m + 2 n}$$
1 | 1 | 1 | 1 | 1 | 1 | 1 |
1 | 2 | 3 | 4 | 5 | 6 | 7 |
3 | 7 | 12 | 18 | 25 | 33 | 42 |
12 | 3 | 55 | 88 | 13 | 182 | 245 |
55 | 143 | 273 | 455 | 7 | 102 | 1428 |
273 | 728 | 1428 | 2448 | 3876 | 5814 | 8379 |
1428 | 3876 | 7752 | 13566 | 21945 | 33649 | 49588 |
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