Generating function
$$U_{1304}(x, y) = \frac{\left(1 - y\right)^{6} \left(- \frac{2 x}{\left(1 - y\right)^{2}} - \sqrt{- \frac{4 x}{\left(1 - y\right)^{2}} + 1} + 1\right)^{2}}{4 x^{4}}$$
Explicit formula
$$T_{1304}(n, m, k) = \frac{2 k {\binom{4 k + 2 n}{n}} {\binom{2 k + m + 2 n - 1}{m}}}{2 k + n}$$
1 | 2 | 3 | 4 | 5 | 6 | 7 |
4 | 16 | 4 | 8 | 14 | 224 | 336 |
14 | 84 | 294 | 784 | 1764 | 3528 | 6468 |
48 | 384 | 1728 | 576 | 1584 | 38016 | 82368 |
165 | 165 | 9075 | 363 | 117975 | 33033 | 825825 |
572 | 6864 | 44616 | 208208 | 78078 | 2498496 | 7079072 |
2002 | 28028 | 21021 | 112112 | 476476 | 17153136 | 54318264 |
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