Generating function
$$U_{435}(x, y) = \frac{- x^{2} + 2 x - 1}{- x^{4} + 4 x^{3} - 6 x^{2} + 4 x + y - 1}$$
Explicit formula
$$T_{435}(n, m, k) = \frac{k {\binom{k + m}{m}} {\binom{2 k + 4 m + n - 1}{n}}}{k + m}$$
1 | 1 | 1 | 1 | 1 | 1 | 1 |
2 | 6 | 1 | 14 | 18 | 22 | 26 |
3 | 21 | 55 | 105 | 171 | 253 | 351 |
4 | 56 | 22 | 56 | 114 | 2024 | 3276 |
5 | 126 | 715 | 238 | 5985 | 1265 | 23751 |
6 | 252 | 2002 | 8568 | 26334 | 6578 | 142506 |
7 | 462 | 5005 | 27132 | 100947 | 29601 | 736281 |
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