[seqfan] Re: Q: cyclotomic cosets A006694

Vladimir Shevelev shevelev at bgu.ac.il
Tue Jan 18 16:25:44 CET 2011

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.

----- 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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