[seqfan] Re: A000000

Tanya Khovanova mathoflove-seqfan at yahoo.com
Wed Jun 16 16:37:50 CEST 2010


We have many sequences that reference OEIS. For example, sequence a(n) = A00000n(n), and so on. Every time we add/change a sequence with a small sequence number we need to recheck all such sequences. 

--- On Wed, 6/16/10, Maximilian Hasler <maximilian.hasler at gmail.com> wrote:

> From: Maximilian Hasler <maximilian.hasler at gmail.com>
> Subject: [seqfan] Re: A000000
> To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
> Date: Wednesday, June 16, 2010, 10:14 AM
> On Wed, Jun 16, 2010 at 9:46 AM,
> Alonso Del Arte
> <alonso.delarte at gmail.com>
> wrote:
> > Very interesting this idea of A000000 (only in the
> OEIS Wiki at the moment).
> 
> [Everyone may have guessed, but to simplify life:
> http://oeis.org/wiki/A000000 = the empty sequence.]
> 
> > I hope that we can keep this at A0 if we can keep it.
> It would be a rather
> > interesting exception to the minimum four terms rule.
> 
> 
> But as to the examples, I don't know...
> Essentially they are all of the form
> "Solutions to [equation which has no solution]"
> 
> So there are infinitely many examples which might be
> considered more
> or less interesting and/or worth to be included (which is
> not the
> same) to each reader, depending on his personal tastes.
> 
> Is it conceivable to develop a "scientific" criterion for
> "interestingness" of such examples ?
> I don't think a consensus could be reached.
> 
> Or at least try to classify some of them, and describe /
> characterize
> those equations of each class, or a subset thereof, which
> don't have
> solutions ?
> 
> * linear equations having no solutions in the integers
> * algebraic equations having no solution in the integers
> * equations involving arithmetic functions ...
> * ...
> 
> Maximilian
> 
> 
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> 





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