[seqfan] Partition ordering naming conventions

franktaw at netscape.net franktaw at netscape.net
Tue Oct 25 00:37:54 CEST 2011

A036036 is identified as "graded reflected colexicographic ordering", 
while A036037 is "graded colexicographic ordering". However, these 
sequences differ only in that A036036 has the parts in increasing 
order, while A036037 has them in decreasing order. This is what I am 
objecting to.

It appears that the nomenclature I was crediting/blaming Peter for was 
actually introduced by Daniel Forgues. My apologies for the confusion.

Franklin T. Adams-Watters

-----Original Message-----
From: Peter Luschny <peter.luschny at googlemail.com>

>FTAW: I have one real problem with the way Peter has identified
>FTAW: orderings of partitions,

Not sure if I understand your problem. I propose on my page (link given)
"to characterize orderings of integer partitions by a triple
[traverse, increase/decrease, forward/reverse]."

> Alonso wrote:
> Currently, there are 28 entries with "Mathematica" in the Name field. 
> of these might have a valid reason IF we agree that there is such a 
thing as
> the "Mathematica order of partitions."

>> Wouter wrote:
>> any suggestions to improve on "Mathematica order of partitions" ?
>> and, while were are at it, for "A&S" - alias 

I have written about that in
Cf. the section "Popular orderings on OEIS".


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