Pyramid #183
Generating function
$$U_{183}(x, y) = \frac{1 - x}{y + 1}$$
Explicit formula
$$T_{183}(n, m, k) = \frac{\left(-1\right)^{- m + n} k {\binom{k + m}{m + n}} {\binom{m + n}{n}}}{k + m}$$
Data table
1 -1 1 -1 1 -1 1
-1 1 -1 1 -1 1 -1
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
Export
expand_less