Pyramid #1134
Pyramid #1135
Pyramid #1136
Generating function
$$U_{1135}(x, y) = \frac{1}{\left(- x \left(y + 1\right)^{3} + 1\right)^{2}}$$
Explicit formula
$$T_{1135}(n, m, k) = {\binom{3 n}{m}} {\binom{2 k + n - 1}{n}}$$
Data table
1 0 0 0 0 0 0
2 6 6 2 0 0 0
3 18 45 6 45 18 3
4 36 144 336 504 504 336
5 6 33 11 2475 396 462
6 9 63 273 819 18018 3003
7 126 1071 5712 2142 59976 129948
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