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It shouldn't be too hard to make this work.
By simply looking at the sequence of the pair-wise difference and ratio and correlating them to the original sequence or a constant, you can get good guesses for most commonly used sequences, if you just allow a few levels of recursion:
The fibonacci sequence is the only one example that needs autocorrelating. Other ones that could use the autocorrelation are -1, 1, -1, 1, ... and 0, 1, 0, 1, ....
In case of ambiguousness the solution with the shallowest recursion would win.
I'll try to come up with a prototype implementation that can be used as basis for a specification. But it won't be this or the next week, so have a little patience ;)
Ideally there would be some sub or method that can be overridden to detect sequences if the built-in mechanism fails..
In reply to Re^3: Numerically generate the perl sequence 1, 11, 111, ....