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I have this pattern:

1
11
21
1211
111221

I'm guessing it's a fibo pattern, been at it for hours now. Anyone know?

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2  
I know where it comes from - each line is what you get when you speak the previous line - one one; two ones; one two, one one; etc. –  Gerry Myerson Jul 5 '12 at 12:51
    
Hint: Not Fibonacci. Read the digits out loud to find the pattern. –  Johannes Kloos Jul 5 '12 at 12:51
    
Thank you guys! –  Karl Morrison Jul 5 '12 at 12:55
    
So next would be: 312211 –  Karl Morrison Jul 5 '12 at 12:56
1  
You could also check out oeis.org/A005150 –  Ross Millikan Jul 5 '12 at 12:59

2 Answers 2

It's known as the look-and-say sequence.

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In the first row, there is one 1 (11). In the second, two 1s (21). In the third, there is one 2 then one 1 (1211). In the fourth, there is one 1 then one 2 then two 1s (111221). It continues in this way, so the next row would be 312211.

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