Benedict Irwin edited section_Analysis_of_the_Generating__.tex  about 8 years ago

Commit id: 204aaa17ffc64c33a9bf36acfd4151bb4df87d43

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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}