Pyramid #295
Generating function
$$U_{295}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 \sqrt{y} \left(1 - x\right)}$$
Explicit formula
$$T_{295}(n, m, k) = \frac{k {\binom{k + 3 m - 1}{m}} {\binom{k + n - 1}{n}}}{k + 2 m}$$
Data table
1 1 3 12 55 273 1428
1 1 3 12 55 273 1428
1 1 3 12 55 273 1428
1 1 3 12 55 273 1428
1 1 3 12 55 273 1428
1 1 3 12 55 273 1428
1 1 3 12 55 273 1428
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