Pyramid #206
Generating function
$$U_{206}(x, y) = - \frac{1}{- x^{2} + 2 x + y \left(x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1\right) - 1}$$
Explicit formula
$$T_{206}(n, m, k) = {\binom{k + m - 1}{m}} {\binom{2 k - 2 m + n - 1}{n}}$$
Data table
1 1 1 1 1 1 1
2 0 -2 -4 -6 -8 -1
3 0 1 6 15 28 45
4 0 0 -4 -2 -56 -12
5 0 0 1 15 7 21
6 0 0 0 -6 -56 -252
7 0 0 0 1 28 21
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