[seqfan] Re: Overview of sequence arising from binary quadratic forms

Neil Sloane njasloane at gmail.com
Sat Jun 28 19:34:37 CEST 2014


Peter said: "Since it calculates positive numbers represented by a binary
quadratic form it does no matter what definition you follow."

I really don't think the definition you are using is the right one,
and I think it does make a difference.

Take the quadratic form 2x^2+y^2. According to your definition, this does
not
represent 1. That is simply wrong. The numbers represented by this form are
given by A002479: 0, 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 17, 18, 19, 22, 24,
25, 27, 32, 33, 34, 36,  ...

My Quadratic Forms page now mentions your "satellite page" in two places.
But I really wish you would use
the right definition (meaning the naive definition) of "represent".

Neil


On Sat, Jun 28, 2014 at 9:24 AM, Peter Luschny <peter.luschny at gmail.com>
wrote:

> As a satellite to the Wiki page of Neil I've written a small program
> that will handle the different cases under a single interface.
>
> It is written in Sage/Python and based for the indefinite quadratic
> forms on a program by Will Jagy.
>
> Suggestions for improvements and extensions are welcome. Please report
> bugs to me immediately.
>
> Peter
>
> P.S.  Since it calculates positive numbers represented by a binary
> quadratic form it does no matter what definition you follow.
>
> http://oeis.org/wiki/User:Peter_Luschny/BinaryQuadraticForms
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>



-- 
Dear Friends, I have now retired from AT&T. New coordinates:

Neil J. A. Sloane, President, OEIS Foundation
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com



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