Generating function
$$U_{186}(x, y) = \frac{- x + \sqrt{x^{2} + 2 x + 4 y + 1} - 1}{2 y}$$
Explicit formula
$$T_{186}(n, m, k) = \frac{\left(-1\right)^{- m + n} k {\binom{k + m + n - 1}{n}} {\binom{k + 2 m + n - 1}{m}}}{k + m}$$
1 | -1 | 2 | -5 | 14 | -42 | 132 |
-1 | 3 | -10 | 35 | -126 | 462 | -1716 |
1 | -6 | 3 | -140 | 630 | -2772 | 12012 |
-1 | 1 | -7 | 42 | -2310 | 12012 | -60060 |
1 | -15 | 14 | -105 | 693 | -42042 | 240240 |
-1 | 21 | -252 | 231 | -18018 | 126126 | -816816 |
1 | -28 | 42 | -462 | 42042 | -336336 | 2450448 |
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