[seqfan] Re: 0-additive arrays

[Olivier Gerard]

On Sat, May 16, 2015 at 3:56 PM, Eric Angelini <Eric.Angelini at kntv.be>
wrote:

>
> Hello SeqFans,
> Here is a way to build an infinite 0-additive array, I guess.
>
> Always try to fill the leftmost empty cell of the top row with
> the smallest unused integer "a" so far.
>
> If this is not possible, try to fill the leftmost empty cell of
> the next row with "a".
>
> If this is not possible, try to fill the leftmost empty cell of
> the next row with "a" (etc.)
>
> Reminder: 0-additivity means that no "a" is the sum of any two
> integers belonging to the row where "a" stands.
>
>
> [...]

>
> [Sorry for the long post, Gérard -- especially if this is old hat.
>

For variants of the same idea,
you might want to lookup  Interpersion array, Wythoff array, Stolarsky array
and speak with Clark Kimberling from Evansville University.


> [Gérard is the list-admin, as you all know]
>

Gérard is my family name. You can call me Olivier.

Regards,

Olivier Gérard