Pyramid #273
Generating function
$$U_{273}(x, y) = x^{2} + y^{2} + y$$
Explicit formula
$$T_{273}(n, m, k) = \left(\frac{\left(-1\right)^{n}}{2} + \frac{1}{2}\right) {\binom{k}{\frac{n}{2}}} {\binom{k - \frac{n}{2}}{- k + m + \frac{n}{2}}}$$
Data table
0 1 1 0 0 0 0
0 0 0 0 0 0 0
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
Export
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