I would also love to see this in a p-adic sense! From my perspective it just smells like p-adic analysis so much. But I don't know enough
Perhaps something on the lines of \(^\infty 2\) is a repeating fraction in \(\mathbb{Q}_2\) or something.
Perhaps something on the lines of \(^\infty 2\) is a repeating fraction in \(\mathbb{Q}_2\) or something.

