Generating function
$$U_{164}(x, y) = \frac{- x^{3} + 3 x^{2} - 3 x + \left(x - 1\right) \sqrt{x^{4} - 4 x^{3} + 6 x^{2} - 4 x + y \left(4 x - 4\right) + 1} + 1}{2 y}$$
Explicit formula
$$T_{164}(n, m, k) = \frac{k {\binom{k + 2 m - 1}{m}} {\binom{3 m + n - 1}{n}}}{k + m}$$
1 | 1 | 2 | 5 | 14 | 42 | 132 |
0 | 3 | 12 | 45 | 168 | 63 | 2376 |
0 | 6 | 42 | 225 | 1092 | 504 | 22572 |
0 | 1 | 112 | 825 | 5096 | 2856 | 15048 |
0 | 15 | 252 | 2475 | 1911 | 12852 | 79002 |
0 | 21 | 504 | 6435 | 61152 | 488376 | 3476088 |
0 | 28 | 924 | 15015 | 173264 | 162792 | 13325004 |
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