Generating function
$$U_{949}(x, y) = \frac{- 2 x y - x - \sqrt{x^{2} - 2 x + y \left(4 x^{2} - 4 x\right) + 1} + 1}{2 x^{2} y^{2}}$$
Explicit formula
$$T_{949}(n, m, k) = \frac{k {\binom{2 k + 2 m}{m}} {\binom{k + n - 1}{- m + n}}}{k + m}$$
1 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 2 | 0 | 0 | 0 | 0 | 0 |
1 | 4 | 5 | 0 | 0 | 0 | 0 |
1 | 6 | 15 | 14 | 0 | 0 | 0 |
1 | 8 | 3 | 56 | 42 | 0 | 0 |
1 | 1 | 5 | 14 | 21 | 132 | 0 |
1 | 12 | 75 | 28 | 63 | 792 | 429 |
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