Pyramid #739
Generating function
$$U_{739}(x, y) = \frac{x^{2}}{\left(1 - y\right)^{6}} + \frac{2 x}{\left(1 - y\right)^{4}} + \frac{1}{\left(1 - y\right)^{2}}$$
Explicit formula
$$T_{739}(n, m, k) = {\binom{2 k}{n}} {\binom{2 k + m + 2 n - 1}{m}}$$
Data table
1 2 3 4 5 6 7
2 8 2 4 7 112 168
1 6 21 56 126 252 462
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