Pyramid 964

Pyramid #963

Pyramid #964

Pyramid #965

Generating function

$$U_{964}(x, y) = x^{2} + y^{2} + 1$$

Explicit formula

$$T_{964}(n, m, k) = \frac{\left(\left(-1\right)^{m} + 1\right) \left(\left(-1\right)^{n} + 1\right) {\binom{k}{\frac{m}{2} + \frac{n}{2}}} {\binom{\frac{m}{2} + \frac{n}{2}}{\frac{n}{2}}}}{4}$$

Data table
1	0	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

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