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This question already has an answer here:

I am given a sequence

$$1, 11, 21, 1211, 111221, 312211, 13112221, \cdots$$

what is the next number?

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marked as duplicate by Belgi, Did sequences-and-series Oct 17 '14 at 11:24

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    $\begingroup$ en.wikipedia.org/wiki/Look-and-say_sequence $\endgroup$ – Ittay Weiss Oct 17 '14 at 11:12
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    $\begingroup$ Looks as sequence $A005150$ at OEIS. $\endgroup$ – Claude Leibovici Oct 17 '14 at 11:12
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    $\begingroup$ @IttayWeiss you beat me by 21s.. :-) $\endgroup$ – mvw Oct 17 '14 at 11:13
  • $\begingroup$ See this question as well $\endgroup$ – mvw Oct 17 '14 at 11:18
  • $\begingroup$ This is an ill-defined question. The next number could be anything. $\endgroup$ – SDiv Oct 17 '14 at 12:47
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Have a look at the Wikipedia article Look-and-say sequence and say ...

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