Generating function
$$U_{60}(x, y) = \frac{- 2 x - \sqrt{- 4 x^{2} y - 4 x + 1} + 1}{2 x^{2}}$$
Explicit formula
$$T_{60}(n, m, k) = \frac{k {\binom{k + n}{m}} {\binom{2 k - 2 m + 2 n}{n}}}{k + n}$$
1 | 1 | 0 | 0 | 0 | 0 | 0 |
2 | 2 | 0 | 0 | 0 | 0 | 0 |
5 | 6 | 1 | 0 | 0 | 0 | 0 |
14 | 2 | 6 | 0 | 0 | 0 | 0 |
42 | 7 | 3 | 2 | 0 | 0 | 0 |
132 | 252 | 14 | 2 | 0 | 0 | 0 |
429 | 924 | 63 | 14 | 5 | 0 | 0 |
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