Pyramid #104
Generating function
$$U_{104}(x, y) = \frac{2 x + \sqrt{4 x^{2} + y^{2} - 2 y + 1}}{y^{2} - 2 y + 1}$$
Explicit formula
$$T_{104}(n, m, k) = \frac{4^{n} k {\binom{\frac{k}{2} + \frac{n}{2}}{\frac{k}{2} - \frac{n}{2}}} {\binom{k + m + n - 1}{m}}}{k + n}$$
Data table
1 1 1 1 1 1 1
2 4 6 8 1 12 14
16/3 16 32 160/3 8 112 448/3
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
Export
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