[seqfan] Re: Corrections to A072368

[Allan Wechsler]

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/
>
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