Generating function
$$U_{1342}(x, y) = \frac{\left(y + 1\right)^{6}}{1 - x}$$
Explicit formula
$$T_{1342}(n, m, k) = {\binom{6 k}{m}} {\binom{k + n - 1}{n}}$$
Data table
1 6 15 2 15 6 1
1 6 15 2 15 6 1
1 6 15 2 15 6 1
1 6 15 2 15 6 1
1 6 15 2 15 6 1
1 6 15 2 15 6 1
1 6 15 2 15 6 1
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