Generating function
$$U_{1095}(x, y) = \frac{\left(- 2 x - \sqrt{1 - 4 x} + 1\right)^{3}}{8 x^{6} \left(1 - y\right)^{3}}$$
Explicit formula
$$T_{1095}(n, m, k) = \frac{3 k {\binom{6 k + 2 n}{n}} {\binom{3 k + m - 1}{m}}}{3 k + n}$$
1 | 3 | 6 | 1 | 15 | 21 | 28 |
6 | 18 | 36 | 6 | 9 | 126 | 168 |
27 | 81 | 162 | 27 | 405 | 567 | 756 |
11 | 33 | 66 | 11 | 165 | 231 | 308 |
429 | 1287 | 2574 | 429 | 6435 | 9009 | 12012 |
1638 | 4914 | 9828 | 1638 | 2457 | 34398 | 45864 |
6188 | 18564 | 37128 | 6188 | 9282 | 129948 | 173264 |
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