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
$$T_{1093}(n, m, k) = \frac{3 k {\binom{6 k + 2 n}{n}} {\binom{k + m - 1}{m}}}{3 k + n}$$
Data table
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
Export
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