deletions | additions       diff --git a/section_Input_Output_Sequences_begin__.tex b/section_Input_Output_Sequences_begin__.tex  index 78c2b38..9f01609 100644  --- a/section_Input_Output_Sequences_begin__.tex  +++ b/section_Input_Output_Sequences_begin__.tex 
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1,1,3,9,27,81,...& A015084 \\  1,1,n,n^2,n^3,...& \mathrm{q-Catalan}\; (q=n)\\  1,1,2,2,4,3,6,4,8,5,... & \mathrm{Fubini}\;\;A000670\\  1,1,3,2,6,3,9,4,12,5,... & A122704\\  1,1,1,2,1,3,1,4,1,5,... & A074664 \\  \end{matrix}  \end{equation} 
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\end{equation}  we then have a fully predictable input sequence to generate the output $A134425$.  \section{A special Dissection}  Sequence A261518 appears to be created by the input sequence \begin{equation}  1,1,1,2,1,3,44/3,-1567/132,-124365/68948, 1917216532/64959985, -17257891916243/1806322984865...  \end{equation}  This appears to grow randomly, however upon close inspection we may notice if we write the sequence as \begin{equation}  \frac{1}{1},1/1,1/1,2/1,6/2,3,44/3,-1567/132,-124365/68948, 5751649596/194879955, -17257891916243/1806322984865...  \end{equation}  we note that \begin{equation}  1 \times 3 = 3\\  3\times 44 = 132 \\  44\times 1567 = 68948\\  1567\times 124365 =194879955 \\  \end{equation}