Pyramid #14
Generating function
$$U_{14}(x, y) = \frac{- x - y - \sqrt{x^{2} - 2 x + y^{2} + y \left(- 2 x - 2\right) + 1} + 1}{2 x y}$$
Explicit formula
$$T_{14}(n, m, k) = \frac{k {\binom{k + m + n}{m}} {\binom{k + m + n}{n}}}{k + m + n}$$
Data table
1 1 1 1 1 1 1
1 3 6 1 15 21 28
1 6 2 5 105 196 336
1 1 5 175 49 1176 252
1 15 105 49 1764 5292 1386
1 21 196 1176 5292 19404 60984
1 28 336 252 1386 60984 226512
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