Generating function
$$U_{361}(x, y) = \frac{- 2 y - \sqrt{- 4 x y^{2} - 4 y + 1} + 1}{2 y^{2}}$$
Explicit formula
$$T_{361}(n, m, k) = \frac{k {\binom{k + m}{n}} {\binom{2 k + 2 m - 2 n}{m}}}{k + m}$$
| 1 | 2 | 5 | 14 | 42 | 132 | 429 |
| 1 | 2 | 6 | 2 | 7 | 252 | 924 |
| 0 | 0 | 1 | 6 | 3 | 14 | 63 |
| 0 | 0 | 0 | 0 | 2 | 2 | 14 |
| 0 | 0 | 0 | 0 | 0 | 0 | 5 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
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