Pyramid #136
Generating function
$$U_{136}(x, y) = \frac{2 x + y - \sqrt{4 x + y^{2} + y \left(4 x + 2\right) + 1} + 1}{2 x^{2}}$$
Explicit formula
$$T_{136}(n, m, k) = \frac{\left(-1\right)^{m + n} k {\binom{2 k + 2 n}{n}} {\binom{k + m + n}{m}}}{k + m + n}$$
Data table
1 -1 1 -1 1 -1 1
-2 4 -6 8 -1 12 -14
5 -15 3 -5 75 -105 14
-14 56 -14 28 -49 784 -1176
42 -21 63 -147 294 -5292 882
-132 792 -2772 7392 -16632 33264 -60984
429 -3003 12012 -36036 9009 -198198 396396
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