Pyramid #24
Generating function
$$U_{24}(x, y) = \frac{- x - 1}{y \left(x^{2} + x\right) - 1}$$
Explicit formula
$$T_{24}(n, m, k) = \frac{k {\binom{k + m}{m}} {\binom{k + m}{- m + n}}}{k + m}$$
Data table
1 0 0 0 0 0 0
1 1 0 0 0 0 0
0 2 1 0 0 0 0
0 1 3 1 0 0 0
0 0 3 4 1 0 0
0 0 1 6 5 1 0
0 0 0 4 1 6 1
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