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Benedict Irwin edited section_Further_Series_Let_the__.tex
over 8 years ago
Commit id: 7d51351209bd0bb1d1d41fcce9bb66d260ea543a
deletions | additions
diff --git a/section_Further_Series_Let_the__.tex b/section_Further_Series_Let_the__.tex
index 5dcfbd0..9133465 100644
--- a/section_Further_Series_Let_the__.tex
+++ b/section_Further_Series_Let_the__.tex
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we find that \begin{equation}
h_1(x)=\frac{1}{x}-\frac{4}{x^3}+\frac{52}{x^5}-\frac{1251 \pm 1}{x^7}\cdots
\end{equation}
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}}}}
\end{equation}
we find that \begin{equation}
h_2(x)=\frac{}{x}-\frac{}{x^3}+\frac{}{x^5}-\frac{}{x^7}\cdots
\end{equation}