spreadsheet I'm working on a mathematical analysis to make it more rigorous. From what I've seen (and I can tell others have seen it too), the general form of the converging function is f(n) = [a(n) + b(n)Y + c(n)Y2]/d(n), where a(n), b(n), c(n), and d(n) are distinct numerical sequences in their own right. The patterns become pretty regular for n>5, so I was thinking that if I could take limits on a(n), b(n), c(n), and d(n) as n approached infinity, I might be able to set that limit equal to 321 and directly solve for Y. Then you would obtain the solution from last time and the one I just posted, and possibly any complex solutions that might exist. But I've yet to define each of these sequences in a simple manner - just haven't spent the time on it yet. Obviously, d(n) is rather simple: d(n) = 3n-3. And a(n) = c(n-1), so there's some simplification there. Just need to work it out...
