Consider the Fibonacci Sequence: .$0,1,1,2,3,5,8,13,21,34,\,.\,.\,.$
Now consider: .$\displaystyle S \;=\;\sum^{\infty}_{n=0}\frac{F_n}{10^{n+1}} $We have:
. ..$\begin{array}{ccccccccccccccccc} 0.&0&1 \\ &&&1 \\ &&&&2 \\ &&&&&3 \\ &&&&&& 5 \\ &&&&&&& 8 \\ &&&&&&& 1&3 \\ &&&&&&&& 2&1 \\...