Pyramid #4
Pyramid #5
Pyramid #6
Generating function
$$U_{5}(x, y) = x + \frac{y}{1 - x}$$
Explicit formula
$$T_{5}(n, m, k) = {\binom{k}{m}} {\binom{- k + 2 m + n - 1}{- k + m + n}}$$
Data table
0 1 0 0 0 0 0
1 1 0 0 0 0 0
0 1 0 0 0 0 0
0 1 0 0 0 0 0
0 1 0 0 0 0 0
0 1 0 0 0 0 0
0 1 0 0 0 0 0
Related
Pyramid #6: Change x y
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