Generating function
$$U_{1093}(x, y) = \frac{\left(- 2 x - \sqrt{1 - 4 x} + 1\right)^{3}}{8 x^{6} \left(1 - y\right)}$$
Explicit formula
$$T_{1093}(n, m, k) = \frac{3 k {\binom{6 k + 2 n}{n}} {\binom{k + m - 1}{m}}}{3 k + n}$$
1 | 1 | 1 | 1 | 1 | 1 | 1 |
6 | 6 | 6 | 6 | 6 | 6 | 6 |
27 | 27 | 27 | 27 | 27 | 27 | 27 |
11 | 11 | 11 | 11 | 11 | 11 | 11 |
429 | 429 | 429 | 429 | 429 | 429 | 429 |
1638 | 1638 | 1638 | 1638 | 1638 | 1638 | 1638 |
6188 | 6188 | 6188 | 6188 | 6188 | 6188 | 6188 |
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