Generating function
$$U_{704}(x, y) = - \frac{\sqrt{4 x + 1}}{y \sqrt{4 x + 1} - 1}$$
Explicit formula
$$Tsqrt(n, k) = \begin{cases}\binom{m}{n} 4^{n}&\text{if k even, where m =} \frac{k} {2},\\\frac {{(-1)}^{n-m} \binom{n}{m} \binom{2n}{n}} {\binom{2n}{2m}} &\text{if k odd, n > m, where m =} \frac{k+1} {2},\\\frac {\binom{2m}{2n} \binom{2n}{n}} {\binom{m}{n}}&\text{if k odd, n} \le \text{m, where m =} \frac{k+1} {2},\\\end{cases} $$$$T_{704}(n, m, k) = \frac{k \operatorname{Tsqrt}{\left(n,k + m \right)} {\binom{k + m}{m}}}{k + m}$$
1 | 1 | 1 | 1 | 1 | 1 | 1 |
2 | 4 | 6 | 8 | 10 | 12 | 14 |
-2 | 0 | 6 | 16 | 30 | 48 | 70 |
4 | 0 | -4 | 0 | 2 | 64 | 140 |
-10 | 0 | 6 | 0 | -10 | 0 | 7 |
28 | 0 | -12 | 0 | 12 | 0 | -28 |
-84 | 0 | 28 | 0 | -20 | 0 | 28 |
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