[seqfan] Re: Corrections to A072368

[Allan Wechsler]

It certainly sounds like Rob Pratt is confident of the values for n<=50.
That satisfies my concern (and I should have read his post more carefully).

On Sun, Jul 23, 2023 at 10:44 AM Neil Sloane <njasloane at gmail.com> wrote:

> Rob Pratt just gave us exact values for n <= 50.  So these ARE optimal,
> right? Or am I missing something?  Allan, W., do you agree?
>
> Best regards
> Neil
>
> Neil J. A. Sloane, Chairman, OEIS Foundation.
> Also Visiting Scientist, Math. Dept., Rutgers University,
> Email: njasloane at gmail.com
>
>
>
> On Sun, Jul 23, 2023 at 3:08 AM Allan Wechsler <acwacw at gmail.com> wrote:
>
> > When the data is corrected, the values listed should only include ones
> > proven optimal. Bounds and conjectures should go only in the comments.
> >
> > The purpose of this practice (avoiding conjectural and best-yet values)
> > mostly pertains to sequences with multiple models or interpretations,
> which
> > luckily doesn't apply to this one, but it's a good habit to encourage.
> >
> > On Sat, Jul 22, 2023 at 9:53 AM Wouter Meeussen <
> > wouter.meeussen at telenet.be>
> > wrote:
> >
> > > hi seqfanners,
> > >
> > > I apologise for my former lack of accuracy.
> > > I thought I had a handle on a nice problem, but
> > > my enthousiastic ambition was larger than my skill and intelligence.
> > > It took 20 years to be corrected, and I can only hope not to have
> > > wrong-footed anyone meanwhile.
> > >
> > > Congrats to Martin for setting things right.
> > >
> > > Wouter
> > > /(oh, the embarrassment ..)/
> > >
> > >
> > > Op 21/07/2023 om 15:16 schreef martin_n_fuller via SeqFan:
> > > > A072368 "Minimal total volume of n bricks with integer sides, all
> > > > sides being different. Lowest value of sum of products of triples
> > > > p*q*r chosen from [1,3n]."
> > > >
> > > > I have found lower values for A072368(12) and A072368(14).  Can
> anyone
> > > > confirm that these are the only corrections?  My method is described
> > > > below along with some proofs.
> > > > There are further corrections and many missing sums in the
> > > > "Illustration of initial terms" linked to A072368.  Should I replace
> > > > it with my file (up to n=33) or should I add a comment on the
> existing
> > > > file that some terms are not the lowest value or are incomplete?
> > > >
> > > (*clip*)
> > > >
> > > > Martin Fuller
> > > >
> > > > --
> > > > Seqfan Mailing list - http://list.seqfan.eu/
> > >
> > > --
> > > Seqfan Mailing list - http://list.seqfan.eu/
> > >
> >
> > --
> > Seqfan Mailing list - http://list.seqfan.eu/
> >
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/
>