Pyramid #481
Generating function
$$U_{481}(x, y) = \frac{\left(y + 1\right)^{2} \left(- 2 x - \sqrt{1 - 4 x} + 1\right)}{2 x^{2}}$$
Explicit formula
$$T_{481}(n, m, k) = \frac{k {\binom{2 k}{m}} {\binom{2 k + 2 n}{n}}}{k + n}$$
Data table
1 2 1 0 0 0 0
2 4 2 0 0 0 0
5 1 5 0 0 0 0
14 28 14 0 0 0 0
42 84 42 0 0 0 0
132 264 132 0 0 0 0
429 858 429 0 0 0 0
Export
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