What is the next number in the sequence?

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What is the next number in the sequence? 1 11 21 1211 111221 312211

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    The next number it: 13112221. Each number describes the previous number. Starting with 1, the second line describes it 11 (one 1). Then the third line describes 11 as 21 (two 1’s). Then the fourth line describes 21 as 1211 (one 2, one 1). This is the pattern.

    silent47 Expert Answered on 20th August 2015.
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    The next number in this series will be: 13112221. Here each number tells the story of how previous number was formed. Each number tells you about the occurence of each digit in a number.
    Explanation: First number is 1. This number has just 1 “1”, so the next number becomes 11. Now, this number has 2 “1”‘s, so the next number is 21. Then, this number has 1 “2” and 1 “1”, so the next number becomes 1211. This number has 1″1″, then 1 “2” and 2 “1”‘s, so the next number becomes 111221 and so on.

    This sequence is based on Run Length Encoding: https://en.wikipedia.org/wiki/Run-length_encoding

    Ishan_Jain Starter Answered on 19th January 2017.
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