Pyramid #207
Generating function
$$U_{207}(x, y) = \frac{y \left(x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1\right) + 1}{x^{2} - 2 x + 1}$$
Explicit formula
$$T_{207}(n, m, k) = {\binom{k}{m}} {\binom{2 k - 4 m + n - 1}{n}}$$
Data table
1 1 0 0 0 0 0
2 -2 0 0 0 0 0
3 1 0 0 0 0 0
4 0 0 0 0 0 0
5 0 0 0 0 0 0
6 0 0 0 0 0 0
7 0 0 0 0 0 0
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