Generating function
$$U_{1326}(x, y) = \frac{1 - \sqrt{- 4 x y^{6} - 24 x y^{5} - 60 x y^{4} - 80 x y^{3} - 60 x y^{2} - 24 x y - 4 x + 1}}{2 x y + 2 x}$$
Explicit formula
$$T_{1326}(n, m, k) = \frac{k {\binom{5 k + 6 n}{m}} {\binom{k + 2 n - 1}{n}}}{k + n}$$
1 | 5 | 1 | 1 | 5 | 1 | 0 |
1 | 11 | 55 | 165 | 33 | 462 | 462 |
2 | 34 | 272 | 136 | 476 | 12376 | 24752 |
5 | 115 | 1265 | 8855 | 44275 | 168245 | 504735 |
14 | 406 | 5684 | 51156 | 332514 | 166257 | 665028 |
42 | 147 | 2499 | 27489 | 219912 | 13634544 | 6817272 |
132 | 5412 | 10824 | 140712 | 1336764 | 98920536 | 593523216 |
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