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### Re: 2, 2, 2, 3, 7, 22, 83, ...

 on Feb 06, 2006 at 20:37 UTC ( #528326=note: print w/replies, xml ) Need Help??

in reply to 2, 2, 2, 3, 7, 22, 83, ...

All of the above answers are correct; it's trivial to construct a simple eigth order function which will map any solution to every single value listed.

That's why I don't like these sorts of question. They're really just guessing games, where you try to guess what the real question that person framing the problem was thinking of, but failed to adequately communicate. They're problems of culture, masquerading as problems of mathematics.

Replies are listed 'Best First'.
Re^2: 2, 2, 2, 3, 7, 22, 83, ...
by xorl (Deacon) on Feb 06, 2006 at 20:39 UTC
All of the above answers are correct; it's trivial to construct a simple eigth order function which will map any solution to every single value listed.
Please show me how to do this? I haven't the slightest clue how to go about it.
The way that I seem to remember learning it way back in college looked like this
Ah that vaguly looks familar (high school was a long time ago). Now I don't think it can be applied to this series as part of the definition says "where no two xj are the same." Or am I misssing something?
Re^2: 2, 2, 2, 3, 7, 22, 83, ...
by ambrus (Abbot) on Feb 06, 2006 at 22:55 UTC

That's wy this is a poll. If there was a single real answer, this was a test, not a poll.

Re^2: 2, 2, 2, 3, 7, 22, 83, ...
by ambrus (Abbot) on Feb 08, 2006 at 13:49 UTC
it's trivial to construct a simple eigth order function which will map any solution to every single value listed

In fact, I've even written a japh based on that idea: Japh algebra. (A bit related is Fast Japh.)

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