Generating function
$$U_{46}(x, y) = \frac{x + \sqrt{x^{2} - 2 x + y \left(4 x - 4\right) + 1} - 1}{y \left(2 x - 2\right)}$$
Explicit formula
$$T_{46}(n, m, k) = \frac{k {\binom{k + 2 m}{m}} {\binom{k + m + n - 1}{n}}}{k + 2 m}$$
1 | 1 | 2 | 5 | 14 | 42 | 132 |
1 | 2 | 6 | 2 | 7 | 252 | 924 |
1 | 3 | 12 | 5 | 21 | 882 | 3696 |
1 | 4 | 2 | 1 | 49 | 2352 | 11088 |
1 | 5 | 3 | 175 | 98 | 5292 | 2772 |
1 | 6 | 42 | 28 | 1764 | 10584 | 60984 |
1 | 7 | 56 | 42 | 294 | 19404 | 121968 |
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