Generating function
$$U_{1058}(x, y) = \frac{\left(1 - \sqrt{1 - 4 x}\right)^{2} \left(y + 1\right)^{3}}{4 x^{2}}$$
Explicit formula
$$T_{1058}(n, m, k) = \frac{2 k {\binom{3 k}{m}} {\binom{2 k + 2 n - 1}{n}}}{2 k + n}$$
Data table
1 3 3 1 0 0 0
2 6 6 2 0 0 0
5 15 15 5 0 0 0
14 42 42 14 0 0 0
42 126 126 42 0 0 0
132 396 396 132 0 0 0
429 1287 1287 429 0 0 0
Export
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