Pyramid #1437
Pyramid #1438
Pyramid #1439
Generating function
$$U_{1438}(x, y) = \frac{y + 1}{\left(- x \left(y + 1\right)^{3} + 1\right)^{2}}$$
Explicit formula
$$T_{1438}(n, m, k) = {\binom{k + 3 n}{m}} {\binom{2 k + n - 1}{n}}$$
Data table
1 1 0 0 0 0 0
2 8 12 8 2 0 0
3 21 63 105 105 63 21
4 4 18 48 84 1008 84
5 65 39 143 3575 6435 858
6 96 72 336 1092 26208 48048
7 133 1197 6783 27132 81396 189924
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