1, 11, 21, 1211, 111221, 312211, 1311221, 111321221,___ ?



The sequence:
1
11
21
1211
111221
312211
13112221
1113213211
31131211131221
...

It's actually quite simple After starting the sequence with 1, each term in the sequence consists of groups of two numbers based on the previous term - the first being the quantity and the second specifying which digit.

Example: the first term is 1, which has "one 1" in it, therefore 11.
11 has "two 1's" in it, therefore 21.
21 has "one 2 and one 1" in it and therefore 1211.

19 comments:

  1. KalaiMay 5, 2012 at 8:32 AM

    hi am kalai from tamil nadu..
    really this puzzle really intresting..
    impressed from comments..
    i saw more than 7 sites..
    but i didnt get a even a single idea..
    ur thoughts makes me to understand..
    thanks a lot.
    my id:narasan231@gmail.com

    ReplyDelete
  2. kapilJune 21, 2012 at 10:23 PM

    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.

    ReplyDelete
  3. songs and moviesAugust 15, 2013 at 9:41 AM

    gud one ...nice explanation...

    ReplyDelete
  4. AnonymousNovember 7, 2013 at 7:15 AM

    Your sequence is incorrect.
    312211, 1311221, 111321221,___
    Should be
    312211, 13112221(you've missed a 2)

    ReplyDelete
    Replies
    1. UnknownJuly 12, 2015 at 4:56 AM

      This comment has been removed by the author.

      Delete
  5. AnonymousApril 22, 2014 at 7:46 AM

    only the top one

    ReplyDelete
  6. AnonymousMay 6, 2014 at 4:02 AM

    Interesting :)

    ReplyDelete
  7. UnknownOctober 2, 2014 at 11:00 PM

    thanks for this wonderful puzzle

    ReplyDelete
  8. ybOctober 11, 2014 at 10:41 AM

    thanx

    ReplyDelete
  9. AnonymousJanuary 31, 2015 at 2:00 PM

    I found this puzzle in a book of Bernard Werber. It's interesting :)

    ReplyDelete
  10. AnonymousFebruary 3, 2015 at 1:55 AM

    http://en.wikipedia.org/wiki/Look-and-say_sequence

    ReplyDelete
  11. UnknownMay 7, 2015 at 5:53 PM

    13211311123113112211
    11131221133112132113212221
    3113112221232112111312211312113211
    13211321321113122112311311222113111221131221

    keep it going

    ReplyDelete
  12. AnonymousDecember 7, 2015 at 6:51 AM

    hi idiots

    ReplyDelete
  13. AnonymousDecember 7, 2015 at 6:53 AM

    human existence is pointless!
    all rubbish
    idiotic stuff
    damn you all

    ReplyDelete
  14. UnknownJune 24, 2016 at 10:49 PM

    Gr8..

    ReplyDelete
  15. AnonymousNovember 3, 2016 at 12:48 PM

    This pattern was shown the first day of my geometry class and our teacher asked if anyone could figure it out. I was the only person in the class to get it and my teacher later said that he himself had to google the answer to it. My question is, is there a name for this pattern?

    ReplyDelete
  16. AnonymousJune 19, 2017 at 12:31 AM

    Le' go

    13211321321113122112311311222113111221131221
    1113122113121113123113112221121321132132211331222113112211

    31131122211311123113111213211321322112111312211312111322212311322113212221

    132113213221133112132113311211131221131211132221123113112221131112311332111213211322211312113211

    1113122113121113222123211211131221232112311311222113111231133221121321132132211331121321231231121113122113322113111221131221

    31131122211311123113321112131221123113112211121312211213211321322113311213212322211211131221131211132221232112111312111213111213211231131122212322211331222113112211

    k done maybe messed up idk idc goodnight

    ReplyDelete
  17. AnonymousJanuary 23, 2018 at 2:58 AM

    That's a great logic......Here is another way to represent!

    https://spirit-of-genius.blogspot.in/2017/07/eventually-found-next.html

    ReplyDelete

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