Generating function
$$U_{395}(x, y) = \frac{\sqrt{1 - 4 y} - \sqrt{- 4 x - 4 y + 1}}{2 x}$$
Explicit formula
$$T_{395}(n, m, k) = \frac{4^{m} k {\binom{k + 2 n - 1}{n}} {\binom{\frac{k}{2} + m + n - 1}{m}}}{k + n}$$
1 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 4 | 16 | 64 | 256 | 1024 | 4096 |
2 | 16 | 96 | 512 | 256 | 12288 | 57344 |
5 | 6 | 48 | 32 | 192 | 10752 | 57344 |
14 | 224 | 224 | 1792 | 12544 | 802816 | 4816896 |
42 | 84 | 1008 | 9408 | 75264 | 5419008 | 3612672 |
132 | 3168 | 44352 | 473088 | 4257792 | 34062336 | 249790464 |
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