Pyramid #556
Pyramid #557
Pyramid #558
Generating function
$$U_{557}(x, y) = x \left(y + 1\right)^{6} + \left(y + 1\right)^{2}$$
Explicit formula
$$T_{557}(n, m, k) = {\binom{k}{n}} {\binom{2 k + 4 n}{m}}$$
Data table
1 2 1 0 0 0 0
1 6 15 2 15 6 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
Related
Pyramid #556: Left on x
Pyramid #558: Right on x
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