Pyramid #72
Generating function
$$U_{72}(x, y) = \frac{x + 1}{\left(1 - y\right)^{2}}$$
Explicit formula
$$T_{72}(n, m, k) = {\binom{k}{n}} {\binom{2 k + m - 1}{m}}$$
Data table
1 2 3 4 5 6 7
1 2 3 4 5 6 7
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