Benedict Irwin edited section_Further_Series_Let_the__.tex  over 8 years ago

Commit id: a9627b2c11fdb08b97d6f950d45e2b827e2a91b4

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this does not seem to match any sequences in OEIS. Although the first $3$ terms do, there are no sequences with a fourth term close to $1250$.  Let the top sequence be the square root numbers  \begin{equation}  h_2(x)=\frac{1}{x+\frac{sqrt{2}}{x+\frac{sqrt{3}}{x+\frac{2}{x+\cdots}}}} h_2(x)=\frac{1}{x+\frac{\sqrt{2}}{x+\frac{\sqrt{3}}{x+\frac{2}{x+\cdots}}}}  \end{equation}  we find that \begin{equation}  h_2(x)=\frac{}{x}-\frac{}{x^3}+\frac{}{x^5}-\frac{}{x^7}\cdots