Generating function
$$U_{1332}(x, y) = x + \frac{1}{\left(1 - y\right)^{5}}$$
Explicit formula
$$T_{1332}(n, m, k) = {\binom{k}{n}} {\binom{5 k + m - 5 n - 1}{m}}$$
Data table
1 5 15 35 7 126 21
1 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
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