Generating function
$$U_{751}(x, y) = \frac{\left(\frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)}{2 y^{2}} + 1\right)^{2} \left(- 2 y - \sqrt{1 - 4 y} + 1\right)}{2 y^{2}}$$
Explicit formula
$$T_{751}(n, m, k) = \frac{\left(k + n\right) {\binom{2 k}{n}} {\binom{2 k + 2 m + 2 n}{m}}}{k + m + n}$$
1 | 2 | 5 | 14 | 42 | 132 | 429 |
2 | 8 | 28 | 96 | 33 | 1144 | 4004 |
1 | 6 | 27 | 11 | 429 | 1638 | 6188 |
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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