Generating function
$$U_{908}(x, y) = \frac{- 2 x - y - \sqrt{4 x^{2} - 4 x + y^{2} + y \left(- 4 x - 2\right) + 1} + 1}{4 x y}$$
Explicit formula
$$T_{908}(n, m, k) = \frac{2^{n} k {\binom{k + m + n}{m}} {\binom{k + m + n}{n}}}{k + m + n}$$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 2 | 6 | 12 | 2 | 3 | 42 | 56 |
| 4 | 24 | 8 | 2 | 42 | 784 | 1344 |
| 8 | 8 | 4 | 14 | 392 | 9408 | 2016 |
| 16 | 24 | 168 | 784 | 28224 | 84672 | 22176 |
| 32 | 672 | 6272 | 37632 | 169344 | 620928 | 1951488 |
| 64 | 1792 | 21504 | 16128 | 88704 | 3902976 | 14496768 |
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