this is for holding javascript data
Benedict Irwin edited section_Analysis_of_the_Generating__.tex
about 8 years ago
Commit id: 204aaa17ffc64c33a9bf36acfd4151bb4df87d43
deletions | additions
diff --git a/section_Analysis_of_the_Generating__.tex b/section_Analysis_of_the_Generating__.tex
index 58f1f0c..1b61746 100644
--- a/section_Analysis_of_the_Generating__.tex
+++ b/section_Analysis_of_the_Generating__.tex
...
G_{11}(z) \to 1,10,2,4,2,4,6,2,6,4,2,4,6,6,2,6,4,2,6,4,6,8,4,2,4 + \mathrm{Sym}\\
\end{equation}
Some conjectures: It would appear the first coeff. is always $1$, the largest is next, the central is always $4$ and there is symmetry about this central $4$. All coeffs. are even except $1$. All even coeffs between the largest and $1$ appear to be present, in each.
The denominator of the generating function can be rewritten as follows \begin{equation}
G_2(z) \to 1-z-z+z^2\\
G_3(z) \to 1-z-z+z^2\\
G_5(z) \to 1-z-z^2+z^3\\
G_7(z) \to 1-z-z^8+z^9\\
G_{11}(z) \to 1-z-z^48+z^49
\end{equation}