
EXAMPLE

The first 15 terms are:
1,10,11,0,2,12,100,3,20,13,21,110,30,4,31
Their successive digits are:
1,1,0,1,1,0,2,1,2,1,0,0,3,2,0,1,3,2,1,1,1,0,3,0,4,3,1
The odd rank digits are here (between parentheses):
(1),1,(0),1,(1),0,(2),1,(2),1,(0),0,(3),2,(0),1,(3),2,(1),1,(1),0,(3),0,(4),3,(1)
Erasing the digits in the parentheses:
( ),1,( ),1,( ),0,( ),1,( ),1,( ),0,( ),2,( ),1,( ),2,( ),1,( ),0,( ),0,( ),3,( )
The surviving digits are:
1,1,0,1,1,0,2,1,2,1,0,0,3...
Those are indeed the digits of the starting sequence.
