deletions | additions       diff --git a/untitled.tex b/untitled.tex  index 232638e..852bb31 100644  --- a/untitled.tex  +++ b/untitled.tex 
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\pi_4(k)=378k+179k^2+18k^3+k^4  \end{equation}  From the above we can see that \begin{equation}  \pi_m(k) = k^m + \frac{3m(m+1)}{2}k^{m-1} + \frac{m(m+1)(m+2)(125+27m)}{24}k^{m-2} + \frac{m(m+1)(m+2)(m+3)(118+125m+9m^2}{16}k^{m-3} \frac{m(m+1)(m+2)(m+3)(118+125m+9m^2)}{16}k^{m-3}  + \end{equation}  we can then expect a reduction \begin{equation}  \pi_m(k) = k^m + \sum_{i=1}^{m-1}c_i\left[\prod_{j=0}^{i} (m+j)\right](...)  \end{equation}  where the denominators are the even factorials?