Does someone see a pattern?:
1
11
21
1211
111221
312211
13112221
1113213211
31131211131221
13211311123113112211
111312211331121321113212221
Does someone see a pattern?:
1
11
21
1211
111221
312211
13112221
1113213211
31131211131221
13211311123113112211
111312211331121321113212221
On
Yes it's called look and say sequence. To generate the next term you have to "say" the digits in the term and write them down accordingly.
For example, first term is $1$. So how many $1$'s ? One $1$. So the next term is $11$, then now say the term, it's two $1$'s, so the next term $21$ and etc.
This is the look-and-say sequence. You can also find it on OEIS.