deletions | additions       diff --git a/untitled.tex b/untitled.tex  index 7ee7128..b285e74 100644  --- a/untitled.tex  +++ b/untitled.tex 
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From here on things get less simple.  The next sequence is the 7-rough numbers \begin{equation}  G_7(z)=\frac{z(1+6z+4z^2+2z^3+4z^4+2z^5+4z^6+6z^7+z^8)}{(1+z)(z^2+1)(z^4+1)(z-1)^2}\\ G_7(z)=\frac{z(1+6z+4z^2+2z^3+4z^4+2z^5+4z^6+6z^7+z^8)}{(1+z)(z^2+1)(z^4+1)(z-1)^2}  \end{equation}  But the sequence description $a(n)$ is terribly complicated \begin{equation}  a_7(n)= //\mathrm{Expression to be revealed soon} \frac{1}{8}e^{-\frac{3}{4}in\pi}\left((1-3i)+(2+i)\sqrt{2}+(-1)^n\left((1-3i)-(2+i)\sqrt{2}+((i-14)+30n)\cos(n\pi/4)+(2+6i)\cos(n\pi/2)+(2-i)\cos(3n\pi/4)+((16i-1)-30in)\sin(n\pi/4)+(2+4i)\sqrt{2}\sin(n\pi/2)-\sin(3n\pi/4)\right)\right)  \end{equation}  Then we have the 11-rough numbers \begin{equation}