Generating function
$$U_{793}(x, y) = \frac{2 - 2 \cos{\left(\frac{2 \arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 x + 3 y}$$
Explicit formula
$$T_{793}(n, m, k) = \frac{2 k {\binom{m + n}{m}} {\binom{2 k + 3 m + 3 n - 1}{m + n}}}{2 k + 2 m + 2 n}$$
1 | 2 | 7 | 3 | 143 | 728 | 3876 |
2 | 14 | 9 | 572 | 364 | 23256 | 149226 |
7 | 9 | 858 | 728 | 5814 | 447678 | 33649 |
3 | 572 | 728 | 7752 | 74613 | 67298 | 5801796 |
143 | 364 | 5814 | 74613 | 841225 | 8702694 | 84672315 |
728 | 23256 | 447678 | 67298 | 8702694 | 101606778 | 1101476376 |
3876 | 149226 | 33649 | 5801796 | 84672315 | 1101476376 | 131668791408 |
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