The next line is...

1
1 1
2 1
1 2 1 1
1 1 1 2 2 1


The problem is to find the next line. I can give the next line but then you must give the one after that. Effectively the real challenge is to get the rule for generating lines.

Originally posted by Virak
1
1 1
2 1
1 2 1 1
1 1 1 2 2 1


The problem is to find the next line. I can give the next line but then you must give the one after that. Effectively the real challenge is to get the rule for generating lines.

312211

Hint: a 4 will never appear in this sequence.

Originally posted by royalchicken
312211

Hint: a 4 will never appear in this sequence.

i get a diffrnt answer....
3312211

Originally posted by gaurav2711
i get a diffrnt answer....
3312211

"three ones, two twos, one one"

Of course, there are uncountably many correct answers to this puzzle.

Originally posted by royalchicken
312211

Hint: a 4 will never appear in this sequence.

13112221
1112213211
312211131221
1311223113112211
11132122132113212221
3113121122111312211312113211

Gee whiz!

Why is it that a four will never appear? I mean, how does one mathematically
express/prove such a thing? (not that I disbelieve you!)

Nemesio

Originally posted by Nemesio
13112221
1112213211
312211131221
1311223113112211
11132122132113212221
3113121122111312211312113211

Gee whiz!

Why is it that a four will never appear? I mean, how does one mathematically
express/prove such a thing? (not that I disbelieve you!)

Nemesio

That's a new Poser/Puzzle! It grew naturally out of the original one!

if a line has a 4, then the previous line must contain the sequence nnnn

this parses as either:
...n's, n n's, n...
or ... n n's, n n's

both of which are illegal

The really long string of lines is correct.
Not going to expose the rule (publically) yet though. If anyone wants it then pm me.