Pyramid #60
Generating function
$$U_{60}(x, y) = \frac{- 2 x - \sqrt{- 4 x^{2} y - 4 x + 1} + 1}{2 x^{2}}$$
Explicit formula
$$T_{60}(n, m, k) = \frac{k {\binom{k + n}{m}} {\binom{2 k - 2 m + 2 n}{n}}}{k + n}$$
Data table
1 1 0 0 0 0 0
2 2 0 0 0 0 0
5 6 1 0 0 0 0
14 2 6 0 0 0 0
42 7 3 2 0 0 0
132 252 14 2 0 0 0
429 924 63 14 5 0 0
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