2 questions: kth +integer which is coprime to j

hv at crypt.org hv at crypt.org
Tue Aug 21 14:42:12 CEST 2007


are you using the definition of "degree"
(1) that says "points actually moved",
or (2) that counts fixpts as 1-cycles?


Gordon Royle wrote:
> Did this ever get answered?
> I also would like to see a nice bijective proof of this ...
> Gordon
> On 10/08/2007, at 1:26 AM, Vladeta Jovovic wrote:
> >
> > number of degree-2n permutations in which all cycles are even  =
> > number of degree-2n permutations in which all cycles are odd
> >
> > "Direct" proof?
> Associate Professor Gordon Royle
> Department of Computer Science & Software Engineering
> University of Western Australia
> http://people.csse.uwa.edu.au/gordon

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I was the author of that entry in the OEIS,
but the "authors" mentioned are Banu and Deshpande.
I admit the entry is slighlty confusing,
and I will reword it!

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