Evaluate this sum in terms of n (the number of terms):
1 2 4 8 16
S =  +  +  +  +  + .....
2 5 41 3,281 21,523,361
I get the following:
S_n = 1  (1/Q_n)
where
Q_n = 2 if n = 0
= Q_(n1)*(2^n*Q_(n1) + 1) if n > 0
I'm still working on a closed form.

Posted by Bractals
on 20051221 15:20:41 