The answer to your sequence is 41122314 and then 31221324. The next number in the sequence is in the form of a1b2c3d4e5..., where "a" is the quantity of 1 in the previous line, "b" is the quantity of 2 in the previous line, etc etc. Another way I have seen this type of sequence is this: 1 11 21 1211 111221 312211 12112221 1112213211 The sequence is made by "reading" the line before it. The first line is One of the number One, so thus the second line is 1 1. The second line is Two Ones, so 2 1. The third line is One Two, One One, so 1211. In turn, this is One One, One Two, Two Ones, so 11 12 21.
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