deletions | additions       diff --git a/section_Input_Output_Sequences_begin__.tex b/section_Input_Output_Sequences_begin__.tex  index e742fd6..b73da7e 100644  --- a/section_Input_Output_Sequences_begin__.tex  +++ b/section_Input_Output_Sequences_begin__.tex 
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2(x+0)/2,(x+1)/2,(x-1)/6,2(x+2)/6,2(x-2)/10,3(x+3)/10,3(x-3)/14,4(x+4)/14,4(x-4)/18,5(x+5)/18...  \end{equation}  which means the sequence for any expression of the form \begin{equation}  \underset{k=1}{\overset{2K_0}{\large K \normalsize}} \frac{\delta_k^1\frac{2K_0}{2} +\delta_k^{even}\frac{K_0+k/2}{2+4(k-2)}}{x} +\delta_k^{even}\frac{(k/2)(K_0+k/2)}{2+4(k-2)} \delta_k^{odd,>1}\frac{(k/2-1/2)(K_0-(k/2-1/2))}{2+4(k-2)}}{x}  =\sum_{n=0}^\infty \frac{\sum_{k=1}^{K_0} k^n}{x^{2n+1}} \end{equation}