Generating function
$$U_{142}(x, y) = - x + \frac{1}{y + 1}$$
Explicit formula
$$T_{142}(n, m, k) = \left(-1\right)^{m + n} {\binom{k}{n}} {\binom{k + m - n - 1}{m}}$$
1 | -1 | 1 | -1 | 1 | -1 | 1 |
-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 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
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