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Benedict Irwin edited section_Further_Series_Let_the__.tex
over 8 years ago
Commit id: a9627b2c11fdb08b97d6f950d45e2b827e2a91b4
deletions | additions
diff --git a/section_Further_Series_Let_the__.tex b/section_Further_Series_Let_the__.tex
index 9133465..c75b79f 100644
--- a/section_Further_Series_Let_the__.tex
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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