All Questions
3 questions
7
votes
3
answers
418
views
On expressing $\frac{\pi^n}{4\cdot 3^{n-1}}$ as a continued fraction.
It is a celebrated equation that $$\frac{\pi}{4}=\cfrac{1}{1+\cfrac{1^2}{3+\cfrac{2^2}{5+\cfrac{3^2}{7+\ddots}}}}$$
However, there are two other conjectured equations that I found which, if true (...
- 9,595
2
votes
0
answers
81
views
A conjectured continued fraction involving non-polynomial patterns
After having been devoting some time for many years to experimental mathematics, I am thinking to publish the details of some of my most fruitful computing workflows for discovering identities. I ...
- 1,013
4
votes
0
answers
107
views
A conjectured continued fraction related to a 2F1 hypergeometric function (and a formula for π)
In a previous question, some months ago, I described a continued fraction for which I was trying to find an identity. I finally found what I was looking for, and I will publish an answer to this ...
- 1,013