Pyramid #733
Generating function
$$U_{733}(x, y) = \frac{x^{2}}{\left(1 - y\right)^{3}} + \frac{2 x}{\left(1 - y\right)^{2}} + \frac{1}{1 - y}$$
Explicit formula
$$T_{733}(n, m, k) = {\binom{2 k}{n}} {\binom{k + m + n - 1}{m}}$$
Data table
1 1 1 1 1 1 1
2 4 6 8 1 12 14
1 3 6 1 15 21 28
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
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