Find
where we alternately multiply by 1/2 and 1/3 to get the next term.
We can split this into two parts
1 + 1/6 + 1/36 + ... and
1/2 + 1/12 + 1/72 + ......
The sum of the two series is
1 /(1 - 1/6) + (1/2) / (1 - 1/6) =
6/5 + 3/5 =
9/5
Yep, very nice, CPhill! Infinite series!
+166 
