Pyramid #793
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
$$T_{793}(n, m, k) = \frac{2 k {\binom{m + n}{m}} {\binom{2 k + 3 m + 3 n - 1}{m + n}}}{2 k + 2 m + 2 n}$$
Data table
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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