Pyramid #266
Generating function
$$U_{266}(x, y) = \frac{1 - \sqrt{- 4 x - 4 y^{2} + 1}}{2 x + 2 y^{2}}$$
Explicit formula
$$T_{266}(n, m, k) = \frac{k \left(\left(-1\right)^{m} + 1\right) {\binom{\frac{m}{2} + n}{n}} {\binom{k + m + 2 n - 1}{\frac{m}{2} + n}}}{2 k + m + 2 n}$$
Data table
1 0 1 0 2 0 5
1 0 4 0 15 0 56
2 0 15 0 84 0 420
5 0 56 0 420 0 2640
14 0 210 0 1980 0 15015
42 0 792 0 9009 0 80080
132 0 3003 0 40040 0 408408
Export
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