Generating function
$$U_{73}(x, y) = \frac{\sqrt{4 x y^{2} - 8 x y + 4 x + 1} + 1}{2 y^{2} - 4 y + 2}$$
Explicit formula
$$T_{73}(n, m, k) = \begin{cases}{\binom{2 k + m - 1}{m}}&\text{if n=0} ,\ \\\frac{k {\binom{k - n - 1}{n - 1}} {\binom{2 k + m - 2 n - 1}{m}}}{n}&\text{if n>0} \end{cases} $$
1 | 2 | 3 | 4 | 5 | 6 | 7 |
1 | 0 | 0 | 0 | 0 | 0 | 0 |
-1 | 2 | -1 | 0 | 0 | 0 | 0 |
2 | -8 | 12 | -8 | 2 | 0 | 0 |
-5 | 3 | -75 | 1 | -75 | 3 | -5 |
14 | -112 | 392 | -784 | 98 | -784 | 392 |
-42 | 42 | -189 | 504 | -882 | 10584 | -882 |
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