Lets do some Puzzles

[TevashSzat]

Well, anyone up for a good puzzle/brain teaser/something of that sort?

I guess I'll start off: (it would be best if you didn't look up the answer on the internet because well, thats cheap)

What is the next iteration of the pattern?

1
11
21
1211
111221
312211
13112221
1113213211

[shlin28]

I'm sure this is completely wrong, but is the answer this?

4133114311

[Kekvit Irae]

I cheated and googled it, so I'm not at a liberty to answer.

[TevashSzat]

I'm sure this is completely wrong, but is the answer this?

4133114311

Nope, here is a hint: Don't use "math" ie, don't try to find any mathematical pattern like +/-/* to try to get the next term

[shlin28]

But I didn't try to use mathematical whatsits I just went via patterns in columns. Eg: in the first column it is 11211311, so it seems reasonable the next number will be 4...

4133114121

Another try.

Do tell me if I am off the track with 4s though...

Edit: First number could be 1 actually...

1133114311 maybe?

[Kekvit Irae]

The solution without the answer:

Spoiler Alert, click show to read: 

Solution: 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.

[TevashSzat]

The solution without the answer:

Spoiler Alert, click show to read: 

Solution: 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.

Yep, thats right. It took me forever to find the answer since when I was given the riddle, I didn't have access to the Internet for like a week...