Generating function
$$U_{906}(x, y) = \frac{1 - \sqrt{- 4 x y^{2} - 16 x y - 16 x + 1}}{2 x y + 4 x}$$
Explicit formula
$$T_{906}(n, m, k) = \frac{2^{k - m + 2 n} k {\binom{k + 2 n}{m}} {\binom{k + 2 n}{n}}}{k + 2 n}$$
2 | 1 | 0 | 0 | 0 | 0 | 0 |
8 | 12 | 6 | 1 | 0 | 0 | 0 |
64 | 16 | 16 | 8 | 2 | 2 | 0 |
64 | 224 | 336 | 28 | 14 | 42 | 7 |
7168 | 32256 | 64512 | 75264 | 56448 | 28224 | 9408 |
86016 | 473088 | 118272 | 177408 | 177408 | 1241856 | 620928 |
1081344 | 7028736 | 21086208 | 38658048 | 4832256 | 43490304 | 28993536 |
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