Pyramid #130
Generating function
$$U_{130}(x, y) = \frac{1}{- 4 y + \left(- x + y + 1\right)^{2}}$$
Explicit formula
$$T_{130}(n, m, k) = \frac{{\binom{k + m}{k - 1}} {\binom{k + n - 1}{k - 1}} {\binom{2 k + 2 m + 2 n}{2 m + 1}} {\binom{2 k + m + n - 1}{k - 1}}}{2 {\binom{2 k - 2}{k - 1}} {\binom{2 k + 2 m}{2 k - 2}}}$$
Data table
1 2 3 4 5 6 7
2 1 28 6 11 182 28
3 28 126 396 1001 2184 4284
4 6 396 1716 572 15912 3876
5 11 1001 572 2431 8398 24871
6 182 2184 15912 8398 352716 1248072
7 28 4284 3876 24871 1248072 52003
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