# A Strange Sequence [duplicate]

This puzzle is taken from a French bestseller I read years ago. The solution is much simpler than it looks...

Find the following line in this sequence :

 1 1 1 2 1 1 2 1 1 1 1 1 2 2 1 3 1 2 2 1 1

• An old question, but here's a variant: what starting sequence can go the most steps before reaching a length of ten? – supercat Nov 7 '14 at 14:23

Say it out loud, and count the numbers!

So the steps would be:

One 1; two 1's; one 2 one 1; and so one. The next would be 1 3 1 1 2 2 2 1.