What is the sum of 0.1+ 0.01+ 0.002+ 0.0003+ 0.00005+ 0.000008+ ..., where each term is the nth Fibonacci number, shifted n places to the right (that is, divided by 10^n)?
(In reply to
No Subject by Dustin)
I haven't been able to come up with any worthwhile connection to e, pi, or the golden ratio. However, if you substitute sqrt(1.5) in place of sqrt(5) in the golden ratio, it's pretty close: 0.112372436, as opposed to 0.112359551.

Posted by Dustin
on 20050309 19:14:58 