Question

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!

Answer 1

@ParthKohli @KingGeorge @TuringTest

Answer 2

The next element in the series is \(31,131,211,131,221\).

Answer 3

and after that surely is
13211311123113112211

Answer 4

;)

Answer 5

Haha, you got it. Let's wait for others.

Answer 6

I wonder if it would be possible to define a recurrence relationship for this pattern.

Answer 7

ahh nice thought,,leme wonder..

Answer 8

Oh, right, @Zarkon YOU GET IN HERE

Answer 9

i got it next element will be 31,131,211,131,221.

Answer 10

*

Answer 11

i like this one

Answer 12

Look and say sequence, knew it in an instant.

Answer 13

(rote memorization ftw)

Answer 14

you are just counting the number of each digit, yes?

Answer 15

look kinda like pascal triangle

Answer 16

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

Answer 17

can somebody please tell me if I am right?

Answer 18

elevens

Answer 19

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

Answer 20

@TuringTest you are 123% right

Answer 21

ha thats great

Answer 22

hooray! this makes me sleep happy :)