Pyramid #458
Pyramid #459
Pyramid #460
Generating function
$$U_{459}(x, y) = \frac{x + \left(y + 1\right)^{4}}{\left(y + 1\right)^{2}}$$
Explicit formula
$$T_{459}(n, m, k) = {\binom{k}{n}} {\binom{2 k - 4 n}{m}}$$
Data table
1 2 1 0 0 0 0
1 -2 3 -4 5 -6 7
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 #460: Left on x
Pyramid #458: Right on x
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