Generating function
$$U_{187}(x, y) = \frac{- y + \sqrt{4 x + y^{2} + 2 y + 1} - 1}{2 x}$$
Explicit formula
$$T_{187}(n, m, k) = \frac{\left(-1\right)^{- m + n} k {\binom{k + 2 n - 1}{n}} {\binom{k + m + 2 n - 1}{m}}}{k + n}$$
1 | -1 | 1 | -1 | 1 | -1 | 1 |
-1 | 3 | -6 | 10 | -15 | 21 | -28 |
2 | -1 | 3 | -70 | 140 | -252 | 420 |
-5 | 35 | -14 | 42 | -1050 | 2310 | -4620 |
14 | -126 | 63 | -231 | 693 | -18018 | 42042 |
-42 | 462 | -2772 | 12012 | -42042 | 126126 | -336336 |
132 | -1716 | 12012 | -6006 | 24024 | -816816 | 2450448 |
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