4
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can you simplify this function $\mu(x)$ into elementary functions where $\mu(x)=\frac{a_x}{b_x}$ where $a_{x-1}+b_{x-1}=a_x$ & $\sqrt{a_{x-1}^2-b_{n-1}^2}+1=b_n$

$$a_1=b_1=1$$ $$\mu(1)=1,\mu(2)=2,\mu(3)=\frac{3\sqrt{3}-3}{2},\mu(4)=\frac{\sqrt{353+202\sqrt{3}}-6\sqrt{3}-11}{2},$$ $$\mu(5)=\frac{5+\sqrt{3}+\sqrt{5-2\sqrt{3}}}{1+\sqrt{25+6\sqrt{3}+2\sqrt{5-2\sqrt{3}}}},\dots$$

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  • 2
    $\begingroup$ Are there some indices $x$ and some $n?$ $\endgroup$ – user376343 Aug 2 at 21:17

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