[seqfan] Re: Fixing A175155 Numbers n satisfying n^2 + 1 = x^2 y^3

Neil Sloane njasloane at gmail.com
Sat Nov 17 14:04:58 CET 2012


I agree that 0 should be in the sequence. I added it and added the
condition that x and y should be positive. The b-file is now wrong, since 0
is missing, but I assume Bob Wilson will be changing it anyway when he
responds to Georgi's comment.
Neil

On Sat, Nov 17, 2012 at 1:59 AM, Georgi Guninski <guninski at guninski.com>wrote:

> Robert,
>
> You submitted a b-file. Are you sure you are not missing terms?
>
> Is it possible for large k
> x^2 - k^3 y^2 = -1
> to have relatively small solution x?
> (Probably this depends on the length of the period of the c.f.).
>
>
>
> On Fri, Nov 16, 2012 at 12:54:17PM -0500, Robert G. Wilson v wrote:
> > SeqFans,
> >
> >       Here is what I get so far.
> >
> >   682
> >   1268860318
> >   1459639851109444
> >   2360712083917682
> >   4392100110703410665318
> >   8171493471761113423918890682
> >   15203047261220215902863544865414318
> >   28285239023397517753374058381589688919682
> >   12439333951782387734360136352377558500557329868
> >   52624630632537831937855708654927989510825107318
> >   97908020042547086005693272723322840570529500826004682
> >   182157675473066143788787784683258842527134067238269233744318
> >   338903990902190706366709548741628016731324554988094903342010145682
> >
> 630530197265361847138377315870912654087912613063713457410764922787325318
> >
> >
> 1060104169164423772274446059994682269961159864044458330444625185013342888064
> > 84
> >   ...
> >
> >
> 4279104078004899022080917697403989475430634859934233351021743853386879637099
> >
> 3207437700222532927350542021925898943115140846846046603791372889127160448480
> >
> 6456648567809059292918190921243953601798103132062280668429245895045322132474
> >
> 8652845281679499196042278242733025358631331870513056058535101653128688454846
> >
> 1633431386777413294481337916503669521364720759917056738645910768971999734826
> > 6905616
> >
> > Sincerely yours, Bob.
> >
>
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>
> 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
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com


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