Generating function
$$U_{1064}(x, y) = \frac{\left(1 - \sqrt{1 - 4 x}\right)^{3} \left(y + 1\right)^{3}}{8 x^{3}}$$
Explicit formula
$$T_{1064}(n, m, k) = \frac{3 k {\binom{3 k}{m}} {\binom{3 k + 2 n - 1}{n}}}{3 k + n}$$
Data table
1 3 3 1 0 0 0
3 9 9 3 0 0 0
9 27 27 9 0 0 0
28 84 84 28 0 0 0
9 27 27 9 0 0 0
297 891 891 297 0 0 0
1001 3003 3003 1001 0 0 0
Export
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