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
$$T_{1095}(n, m, k) = \frac{3 k {\binom{6 k + 2 n}{n}} {\binom{3 k + m - 1}{m}}}{3 k + n}$$
Data table
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
Export
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