Pyramid #487
Generating function
$$U_{487}(x, y) = \frac{2 \sqrt{3} \left(x + 1\right)^{2} \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 \sqrt{y}}$$
Explicit formula
$$T_{487}(n, m, k) = \frac{k {\binom{2 k}{n}} {\binom{k + 3 m - 1}{m}}}{k + 2 m}$$
Data table
1 1 3 12 55 273 1428
2 2 6 24 11 546 2856
1 1 3 12 55 273 1428
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
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