Benedict Irwin edited section_Analysis_of_the_Generating__.tex  about 8 years ago

Commit id: 4ac0df5be34a651702e786302e797ba19c53458d

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G_3(z) \to 1,1 \\  G_5(z) \to 1,4,1 \\  G_7(z) \to 1,6,4,2,4,2,4,6,1 \\  G_11(z) 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.