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
$$T_{1326}(n, m, k) = \frac{k {\binom{5 k + 6 n}{m}} {\binom{k + 2 n - 1}{n}}}{k + n}$$
Data table
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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