Generating function
$$U_{796}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{\frac{x}{1 - y}}}{2} \right)}}{3} \right)}}{3 \sqrt{\frac{x}{1 - y}}}$$
Explicit formula
$$T_{796}(n, m, k) = \frac{k {\binom{k + 3 n - 1}{n}} {\binom{m + n - 1}{m}}}{k + 2 n}$$
1 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 1 | 1 | 1 | 1 | 1 | 1 |
3 | 6 | 9 | 12 | 15 | 18 | 21 |
12 | 36 | 72 | 12 | 18 | 252 | 336 |
55 | 22 | 55 | 11 | 1925 | 308 | 462 |
273 | 1365 | 4095 | 9555 | 1911 | 34398 | 5733 |
1428 | 8568 | 29988 | 79968 | 179928 | 359856 | 659736 |
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