[seqfan] Re: Q: cyclotomic cosets A006694

[Joerg Arndt]

Now reworded to:

  a(n) is not in general the number of orbits in (Z/(2n+1)Z)* generated
  by 2, these are counted in A037226. - M. F. Hasler, Jan 18 2011.

Hope that's OK.

And yes, some sequences cold benefit from definitions...


* Vladimir Shevelev <shevelev at bgu.ac.il> [Jan 18. 2011 17:10]:
> Yes, when I for the first time have seen this sequence, I did not quite understand the definition. Before (up to 2008), I did not see term "coset". Besides, I thought that the definition is the first statement in Comment: The number of cycles in permutations constructed from siteswap juggling patterns 1, 123, 12345, 1234567, etc.... 
> I did some experiments and posed this conjecture. Later I understood that  it is the definition and many timis used term "coset", but forgot about this my "conjecture"-this word it should be removed.
>  
> Regards,
> Vladimir
> 
> 
> ----- Original Message -----
> From: Joerg Arndt <arndt at jjj.de>
> Date: Tuesday, January 18, 2011 16:09
> Subject: [seqfan] Re: Q: cyclotomic cosets A006694
> To: seqfan at list.seqfan.eu
> 
> > * Joerg Arndt <arndt at jjj.de> [Jan 18. 2011 15:04]:
> > > In A006694 there is the comment:
> > > "Conjecture: a(n) is the number of orbits
> > >   in (Z\(2n+1)Z)* generated by 2."
> > > 
> > > But that is the definition of the sequence, correct?
> > > (note to myself: if so, A139035 needs editing as well)
> > > 
> > 
> > M. F. Hasler took care of that, thanks!
> > 
> > > [...]
> > 
> > _______________________________________________
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> > 
> 
>  Shevelev Vladimir‎
> 
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