deletions | additions       diff --git a/untitled.tex b/untitled.tex  index c13af08..4084dd7 100644  --- a/untitled.tex  +++ b/untitled.tex 
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g(x)=\frac{2}{x+\frac{3}{x+\frac{5}{x+\frac{7}{x+\cdots}}}} = \underset{k=1}{\overset{\infty}{\mathrm \large K \normalsize}} \frac{p_k}{x}   \end{equation}  where the top row of numbers are the prime numbers, $p_k$. Using the first $9999$ primes in the continued fraction, this also converges to 16 decimal places for large enough $x$, and appears to be described by an integral coefficient Laurent series \begin{equation}  g(x)=\frac{2}{x}-\frac{6}{x^3}+\frac{48}{x^5}-\frac{594}{x^7}+\frac{B}{x^9}\cdots g(x)=\frac{2}{x}-\frac{6}{x^3}+\frac{48}{x^5}-\frac{594}{x^7}+\frac{10212}{x^9}-\frac{230796}{x^11}+\frac{6569268}{x^13}-\cdots  \end{equation}  where $B>10100$ but fairly close. If a factor of $2$ is removed we have the sequence $1,3,24,297,\cdots$ which has a single match on OEIS with sequence A258301. We see the next term in that sequence $5260$, is approximately half the suggested value of $B$, which was not yet converged.