Generating function
$$U_{1354}(x, y) = \frac{1 - \sqrt{- \frac{4 x}{\left(1 - 4 y\right)^{\frac{3}{2}}} + 1}}{2 x}$$
Explicit formula
$$T_{1354}(n, m, k) = \frac{4^{m} k {\binom{k + 2 n - 1}{n}} {\binom{\frac{3 k}{2} + m + \frac{3 n}{2} - 1}{m}}}{k + n}$$
1 | 4 | 16 | 64 | 256 | 1024 | 4096 |
1 | 12 | 96 | 64 | 384 | 21504 | 114688 |
2 | 32 | 32 | 256 | 1792 | 114688 | 688128 |
5 | 12 | 168 | 1792 | 16128 | 129024 | 946176 |
14 | 392 | 6272 | 75264 | 75264 | 6623232 | 52985856 |
42 | 1512 | 3024 | 44352 | 532224 | 55351296 | 516612096 |
132 | 528 | 11616 | 185856 | 2416128 | 270606336 | 270606336 |
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