Pyramid #821
Pyramid #822
Pyramid #823
Generating function
$$U_{822}(x, y) = x \left(y + 1\right) + \left(y + 1\right)^{4}$$
Explicit formula
$$T_{822}(n, m, k) = {\binom{k}{n}} {\binom{4 k - 3 n}{m}}$$
Data table
1 4 6 4 1 0 0
1 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
Related
Pyramid #725: Right on x
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