Pyramid #103
Generating function
$$U_{103}(x, y) = \frac{2 y + \sqrt{x^{2} - 2 x + 4 y^{2} + 1}}{x^{2} - 2 x + 1}$$
Explicit formula
$$T_{103}(n, m, k) = \frac{4^{m} k {\binom{\frac{k}{2} + \frac{m}{2}}{\frac{k}{2} - \frac{m}{2}}} {\binom{k + m + n - 1}{n}}}{k + m}$$
Data table
1 2 16/3 0 0 0 0
1 4 16 0 0 0 0
1 6 32 0 0 0 0
1 8 160/3 0 0 0 0
1 1 8 0 0 0 0
1 12 112 0 0 0 0
1 14 448/3 0 0 0 0
Export
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