0
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                           345
                         131415
                      111311141115              
                     311331143115 
                      1321232114132115
                1113121112131221141113122115

I have tried everything and still cannot figure this out.

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9
  • $\begingroup$ There are quite a few questions with this pattern around here. $\endgroup$
    – Ivanhoe
    Oct 13 '16 at 14:15
  • $\begingroup$ Hello! Welcome to Puzzling. I suggest you to take the tour to know how this works and also win badges with it. $\endgroup$
    – lois6b
    Oct 13 '16 at 14:15
  • $\begingroup$ I take it from the way you ask the question that the puzzle isn't one you've made up; you should say where you got it from. $\endgroup$
    – Gareth McCaughan
    Oct 13 '16 at 14:15
  • $\begingroup$ this must be one of the most known sequence in the universe. $\endgroup$
    – Den
    Oct 13 '16 at 14:15
  • $\begingroup$ Yes indeed. Though the question is different, even though the answer is the same. What's the etiquette for this? $\endgroup$
    – Gareth McCaughan
    Oct 13 '16 at 14:17
1
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This seems similar to another question. Basically,

Each line is just a read-out of the preceding line. E.g. 345 becomes one 3, one 4, one 5 (131415), which in turn becomes one 1, one 3, one 1, one 4, etc.

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2
  • $\begingroup$ Yup. We should probably mark this as a duplicate rather than giving answers, though :-). $\endgroup$
    – Gareth McCaughan
    Oct 13 '16 at 14:16
  • $\begingroup$ @GarethMcCaughan: whoops. $\endgroup$
    – Xenocacia
    Oct 13 '16 at 14:17
0
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Answer:

.Look and say sequence..

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