Amanda Marlowe wrote:
...
> > >> Here's one I'm sure won't last nearly as long.  Guess the next number
> > >> in the following sequence.
> > >>
> > >> 1
> > >> 11
> > >> 21
> > >> 1211
> > >>
> > >> --
> > >> Doug
> > >
> > > Looks like a palindrome, and I don't see much of a mathematical pattern
> > > in
> > > it (not that I tried much though), so my guess is "1".
> > >
> > heh, good answer, but no.
> >
> > perhaps I should add one more:
> >
> > 111221
> > --
> > Doug
> 
> Hm. If you hadn't included the next term, I'd have tried 1231.
> Is the one after this 312211 then?
...

        I'm sure it is.  Good job.  I got it, but then I read
this article:

J. H. Conway, The weird and wonderful chemistry of audioactive decay,
              Eureka 46 (1986) 5-16.

which also appeared in:

J. H. Conway, The weird and wonderful chemistry of audioactive decay,
              in T. M. Cover and Gopinath, eds., Open Problems in
Communication and
              Computation, Springer, NY 1987, pp. 173-188.

        Potential cheaters, please note:  This could have been 
answered by going to "The On-Line Encyclopedia of Integer 
Sequences", at:

http://www.research.att.com/~njas/sequences/

                                                ---David
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