Pyramid #660
Generating function
$$U_{660}(x, y) = \frac{\sqrt{4 x + 1} + 1}{2 \sqrt{1 - 4 y}}$$
Explicit formula
$$T_{660}(n, m, k) = \begin{cases}4^{m} {\binom{\frac{k}{2} + m - 1}{m}}&\text{if n=0} ,\ \\\frac{\left(-1\right)^{n - 1} \cdot 4^{m} k {\binom{- k + 2 n - 1}{n - 1}} {\binom{\frac{k}{2} + m - 1}{m}}}{n}&\text{if n>0} \end{cases} $$
Data table
1 0 0 0 0 0 0
1 0 0 0 0 0 0
-1 0 0 0 0 0 0
2 0 0 0 0 0 0
-5 0 0 0 0 0 0
14 0 0 0 0 0 0
-42 0 0 0 0 0 0
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