Generating function
$$U_{71}(x, y) = \frac{y^{2} - 2 y - \sqrt{- 4 x + y^{4} - 4 y^{3} + 6 y^{2} - 4 y + 1} + 1}{2 x}$$
Explicit formula
$$T_{71}(n, m, k) = \frac{k {\binom{k + 2 n - 1}{n}} {\binom{2 k + m + 4 n - 1}{m}}}{k + n}$$
1 | 2 | 3 | 4 | 5 | 6 | 7 |
1 | 6 | 21 | 56 | 126 | 252 | 462 |
2 | 2 | 11 | 44 | 143 | 4004 | 1001 |
5 | 7 | 525 | 28 | 119 | 4284 | 13566 |
14 | 252 | 2394 | 1596 | 8379 | 368676 | 1413258 |
42 | 924 | 10626 | 85008 | 5313 | 276276 | 1243242 |
132 | 3432 | 46332 | 432432 | 3135132 | 18810792 | 97189092 |
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