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Find the next number in the sequence

Posted on: June 29th, 2013 by
4

1
11
21
1211
111221
312211
13112221
?

via Idoia


4 Responses to Find the next number in the sequence

  1. Pratik Poddar had this to say about that:

    1 is read off as "one 1" or 11.
    11 is read off as "two 1s" or 21.
    21 is read off as "one 2, then one 1" or 1211.
    1211 is read off as "one 1, then one 2, then two 1s" or 111221.
    111221 is read off as "three 1s, then two 2s, then one 1" or 312211.

    Interesting. Thanks

  2. Dinesh had this to say about that:

    John Conway analyzed this (and similar) sequences and proved that their asymptotic growth rate is given by the unique positive real root of a 71 degree polynomial!!! I have always wondered how something like this was proved - https://en.wikipedia.org/wiki/Look-and-say_sequence

    • admin had this to say about that:

      This is amazing! I shared it with my fellow researchers at Stanford and they all loved it! Thanks for sharing.


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