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This question already has an answer here:

Here at Puzzling there are many sequences of numbers already. I come up with another one, that I haven't found so far.

     10
    1 10
   1 1 1 10
  11 1 1 10
1 11 10 1 1 10

What is the next line?

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marked as duplicate by dcfyj, Jaap Scherphuis, Quintec, Community Jul 12 '18 at 13:03

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

  • $\begingroup$ @dcfyj Why put you the same link as athin? athin is right. It's the same solving strategy, but IMHO not same question. $\endgroup$ – VV5198722 Jul 12 '18 at 12:37
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    $\begingroup$ That's an automatic comment from when I flagged it as a possible duplicate. Just because you obfuscate the pattern behind a layer of encryption doesn't mean it's not the same question. On here binary may as well be decimal, pretty much every one knows it and can read it off-hand. $\endgroup$ – dcfyj Jul 12 '18 at 12:39
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The next line is

1 1 1 11 1 10 10 1 1 10

Because

This is essentially a version of the Look-and-say sequence where begin with 2 (i.e, 2, 12, 1112, 3112, 132112, 1113122112, ...) but each line is the corresponding number with each digit translated to binary and arranged in a sequence.

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