Generating function
$$U_{1158}(x, y) = \frac{y^{6} \left(4 - 4 \sqrt{- \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{2 y^{6}} + 1}\right)}{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}$$
Explicit formula
$$T_{1158}(n, m, k) = \frac{3 k n {\binom{2 m + 6 n}{m}} {\binom{k + 2 n - 1}{n}}}{\left(k + n\right) \left(m + 3 n\right)}$$
nan | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 6 | 27 | 11 | 429 | 1638 | 6188 |
2 | 24 | 18 | 1088 | 5814 | 28728 | 134596 |
5 | 9 | 945 | 759 | 5175 | 3159 | 1781325 |
14 | 336 | 4536 | 45472 | 37758 | 2749824 | 18179392 |
42 | 126 | 2079 | 2499 | 244755 | 20727252 | 15737358 |
132 | 4752 | 92664 | 129888 | 14661108 | 141604848 | 1214879688 |
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