[seqfan] Re: How to list pairs, triples, etc

Richard Guy rkg at cpsc.ucalgary.ca
Mon May 17 20:03:27 CEST 2010


Many thanks to Hans Havermann and Richard Mathar.
It's of interest that Hans is searching for
the largest number that does not occur (as a
largest member) while Richard surmises that
it doesn't exist.  May the best man win!   R.

On Mon, 17 May 2010, 
Richard Mathar wrote:

> http://list.seqfan.eu/pipermail/seqfan/2010-May/004672.html
>
> If we plot the numbers c that do not occur in a
> representation {1<=a<b<c with a+b, b+c and a+c three perfect squares}
> as a function of their "index", for all c up
> to roughly 6000, this graph is almost parabolic:
> these c are roughly a function of the square of
> their positions in this list of absentees. From
> that point of view it does not look like there is some point
> at which the graphs accelerates growth to ensure that all c after
> some "threshold" c occur in these triples as a maximum member.
>
> RJM
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