Please turn on javascript in your browser to play chess.
Posers and Puzzles

Posers and Puzzles

  1. Standard member forkedknight
    Defend the Universe
    21 Apr '08 15:50
    What comes next?
    1
    11
    21
    1211
    111221
    312211
    ...
  2. 21 Apr '08 15:51 / 1 edit
    Yes, I do like this one. Won't spoil it though.
  3. Standard member forkedknight
    Defend the Universe
    21 Apr '08 15:52 / 1 edit
    and no cheating by looking it up in the encyclopedia of integer sequences...
  4. 21 Apr '08 17:38
    Originally posted by forkedknight
    What comes next?
    1
    11
    21
    1211
    111221
    312211
    ...
    13112221
    1113213211
    31131211131221

    ????
  5. 21 Apr '08 18:10
    Originally posted by forkedknight
    and no cheating by looking it up in the encyclopedia of integer sequences...
    Or at previous threads.
  6. 22 Apr '08 01:37 / 1 edit
    Originally posted by brobluto
    13112221
    1113213211
    31131211131221

    ????
    13211311123113112211
    sorry disregard earlier version due to the fact that I can't count. I believe this version is right though
  7. Standard member forkedknight
    Defend the Universe
    22 Apr '08 01:46
    does the length of members of this series increase exponentially?
  8. 22 Apr '08 02:15
    Once you determine what the rule entails, discovering the next term is very easy. Each number is determined exclusively by the previous number, by the way, but not in the standard mathematical way.
  9. Standard member Jamin
    Irresponsible Quoter
    22 Apr '08 03:06
    Originally posted by forkedknight
    What comes next?
    1
    11
    21
    1211
    111221
    312211
    ...
    Oh....

    Got it... took a minute (or six) though.
  10. 22 Apr '08 15:03
    Originally posted by forkedknight
    does the length of members of this series increase exponentially?
    I think so, but I'm struggling with when the number 4 will occur in the series... (I don't think it will)

    In order to get a 4, you would need either 1,2,or3 repeated 4 times:

    1111
    2222
    3333

    This would require a break from the sequence so I don't believe the number 4 is achievable. Is that correct?
  11. Standard member forkedknight
    Defend the Universe
    22 Apr '08 18:50
    Originally posted by brobluto
    I think so, but I'm struggling with when the number 4 will occur in the series... (I don't think it will)

    In order to get a 4, you would need either 1,2,or3 repeated 4 times:

    1111
    2222
    3333

    This would require a break from the sequence so I don't believe the number 4 is achievable. Is that correct?
    I believe you are correct that the number 4 will never appear. since each 'description' is two digits long, and the second digit is the character that appeared, you will never have two descriptions in a row with the same second character.