Pyramid #1
Pyramid #2
Generating function
$$U_{1}(x, y) = x + y$$
Explicit formula
$$\delta{(a, b)} = \begin{cases}1&\text{if a = b},\\ 0 \end{cases} $$$$T_{1}(n, m, k) = \delta{\left(k,m + n \right)} {\binom{m + n}{m}}$$
Data table
0 1 0 0 0 0 0
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 0 0 0 0 0 0
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