Benedict Irwin edited untitled.tex  almost 8 years ago

Commit id: e85a4e928bff713e35191fa77655f1f3637c3f9c

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x^{10} \to \frac{2-5a^3}{a^5}\\  x^{12} \to -\frac{2+3a^2}{a^6}\\  x^{42} \to \frac{2-3a^7-7a^{15}}{a^{21}}\\  x^{44} \to -\frac{2+11a^{18}}{a^{22}} -\frac{2+11a^{18}}{a^{22}}\\  x^{30} \to -\frac{-2+3a^5+5a^9}{a^{15}}  \end{equation} It seems that for numbers with $3$ prime factors, the coefficient of the largest power of $a$ in the numerator is the power of the second largest power of $a$. Although only a few numbers have been checked so far.