Lets play a "Beautiful mind" - solve some puzzles

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gunnar

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Alex
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So, here is the game. Someone posts a puzzle and whoever solves it first - posts a new one and so on.

Rules
1. No googling!
2. Clarifying (preferebly "yes-no") questions may be asked but it's up to author wether to answer them.
3. If you've seen the puzzle before and know the answer - retain from posting it, it's not fair.

Let's have some fun!
 
I'l start.

Given these number sequences, add another one

1
11
21
1211
111221
312211
Your sequence goes here:>
 
gunnar said:
I'l start.

Given these number sequences, add another one

1
11
21
1211
111221
312211
Your sequence goes here:>
Click to expand...

13112221
1113213211
31131211131221
 
one
one one
two ones
one two, one one
one one, one two, two ones
three ones, two twos, one one

each describes the preceding sequence (I had seen it before)
 
Martyn... said:
one
one one
two ones
one two, one one
one one, one two, two ones
three ones, two twos, one one

each describes the preceding sequence (I had seen it before)
Click to expand...

Exactly, an old one that I'd not seen for a while.
 
OK, along similar lines...

2, 3, 3, 5, 10, 13, 39, 43, 172, 177
 
Add 1, multiply by 1, add 2, multiply by 2....... (for those who want the explanation) :D

So, in-keeping with the sequence theme, what's next?:

31, 56, 93, 120, 155, 180, 217, 248.....
 
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