Pyramid #298
Generating function
$$U_{298}(x, y) = \frac{1 - \sqrt{- 4 x y^{2} - 4 x + 1}}{2 x}$$
Explicit formula
$$T_{298}(n, m, k) = \frac{k \left(\left(-1\right)^{m} + 1\right) {\binom{k + n}{\frac{m}{2}}} {\binom{k + 2 n - 1}{n}}}{2 k + 2 n}$$
Data table
1 0 1 0 0 0 0
1 0 2 0 1 0 0
2 0 6 0 6 0 2
5 0 2 0 3 0 2
14 0 7 0 14 0 14
42 0 252 0 63 0 84
132 0 924 0 2772 0 462
Export
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