The next two numbers in the sequence are ...13112221, 1113213211
The sequence was correctly identified as the Look-and-Say sequence, but nobody correctly guessed the next two terms. For more information about the Look-and-Say sequence check out this article: http://en.wikipedia.org/wiki/Look-and-say_sequence
UPDATE: Since the link doesn't work, Google "Look and Say sequence" to find the article
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A Riddle a Day -- 78 Logical and Mathematical Puzzles
RandomSome riddles and brainteasers to give you a little something to think about each day!