Another brainteaser commonly asked

[klorpet]

What is the next number in this sequence?

1
11
21
1211
111221
312211
????????

[ryansite]

13112221

am i right ? thx

[klorpet]

Yes indeed you are, well done!

[lawrence]

May I know the logic here?

[Interviews]

Answer to this is not quite intuitive - at least for me - however check the answer below

1) 1
This number has one (1), 1
So, the next number is
2) 11
This number has two (2), 1's
so, the next number is
3) 21
This number has one(1), 2 and one(1),1
so, the next number is
4) 1211
This number has one(1), 1, one(1), 2 and two (2),1's
so, the next number is
5) 111221
This number has three(3), 1's, two(2), 2's and one (1),1
so, the next number is
6) 312211
This number has one(1), 3, one(1), 1, two (2),2's and two (2), 1's
so, the next number is
7) 13112221

So, on so forth.... Hope the logic is clear ...
another number question available here