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Re:A Quick Puzzle to Test Your Problem Solving by nandemo on Thursday July 02, 2015 @11:47PM (#9823336)
How about this?

Choose a programming language. Choose a sequence prefix (in your example: 2, 3). Then consider all the programs that accept n as input and output a sequence of n numbers, such that the first numbers are always 2, 3. Now take the shortest of those programs. The sequence it produces is the "simplest".

If this sounds tedious to code, you could easily outsource via Odesk or something.

Re:A Quick Puzzle to Test Your Problem Solving by eru on Friday July 03, 2015 @12:46AM (#9823542)
You are asking for https://en.wikipedia.org/wiki/Kolmogorov_complexity

It's uncomputable in general.

Re:A Quick Puzzle to Test Your Problem Solving by nandemo on Friday July 03, 2015 @11:29AM (#9826088)
I know. :-)