A quick puzzle

[jogger08152]

A friendly acquaintance passed this to me on a small note over cards two weekends ago. Complete the next line, but please don't explain your reasoning. I'll know if you're right:

1
11
21
1211
111221
312211
...

Enjoy.

[bigpooch]

13112221 and the next line is
1113213211

[kyro]

[ QUOTE ]
13112221 and the next line is
1113213211

[/ QUOTE ]

31131211131221

[UMTerp]

[ QUOTE ]
[ QUOTE ]
13112221 and the next line is
1113213211

[/ QUOTE ]

31131211131221

[/ QUOTE ]

13211311123113112211

[gumpzilla]

Conway proved some crazy, crazy things about this sequence. Here (http://mathworld.wolfram.com/LookandSaySequence.html) is a reference.

[jay_shark]

13112221.

I see the pattern now . Any time a row has consecutive one's (1 or more ), you add them and follow that with an additional 1 . If a previous row begins with a non one , then the next row will commence with a 1 . If a previous row commences with a one , then the subsequent row will commence with two 1's .

[theweatherman]

[ QUOTE ]
13112221.

I see the pattern now . Any time a row has consecutive one's (1 or more ), you add them and follow that with an additional 1 . If a previous row begins with a non one , then the next row will commence with a 1 . If a previous row commences with a one , then the subsequent row will commence with two 1's .

[/ QUOTE ]

no quite. read the string of terms out loud: 13112221 as one 1 one 3 two 1s three 2s one 1 and you get the next entry as 1113213211, then 31131311131221 then 13211311133113112211 then 111312211331232113212221 to infinity

[jay_shark]

Very nice !

[arahant]

[ QUOTE ]
Conway proved some crazy, crazy things about this sequence. Here (http://mathworld.wolfram.com/LookandSaySequence.html) is a reference.

[/ QUOTE ]

wow. that's actually kind of creepy!