Here's the question you clicked on:
badreferences
My favorite math pattern:\[1\\11\\21\\1,211\\111,221\\312,211\\13,112,221\\1,113,213,211\]Out of the box thinking! What is the pattern or relationship? If you would please, when you figure out the answer, add the next term in the series, that'd be great. Keep the challenge fresh!
@ParthKohli @KingGeorge @TuringTest
The next element in the series is \(31,131,211,131,221\).
and after that surely is 13211311123113112211
Haha, you got it. Let's wait for others.
I wonder if it would be possible to define a recurrence relationship for this pattern.
ahh nice thought,,leme wonder..
Oh, right, @Zarkon YOU GET IN HERE
i got it next element will be 31,131,211,131,221.
Look and say sequence, knew it in an instant.
(rote memorization ftw)
you are just counting the number of each digit, yes?
look kinda like pascal triangle
1 how many 1s? one 1 (11) how many 1s? two 1s (21) how many of each? one 2 and one 1 (1,211) etc. each entry counts the number of digits... or so it seems to me
can somebody please tell me if I am right?
http://en.wikipedia.org/wiki/Look-and-say_sequence http://mathworld.wolfram.com/LookandSaySequence.html http://planetmath.org/encyclopedia/ConwaysConstant.html http://mathworld.wolfram.com/CosmologicalTheorem.html
@TuringTest you are 123% right
hooray! this makes me sleep happy :)