[seqfan] Re: Polycubes and canonical order of k-tuples of nonnegative integers

Marc LeBrun mlb at well.com
Sat Aug 19 18:13:23 CEST 2023

>=Pontus von Brömssen

Really nice sequences; thanks for all the work, thought and care creating and submitting them!

> ...the OEIS canonical way to order...

"The great thing about standards is that there are so many to choose from."

While consistency is valuable there is no strict "OEIS canon".

Although in https://oeis.org/wiki/Orderings_of_partitions the term "Canonical" (in quotes) is used as an adjective to denote one of the seven or eight partition orderings presented on that page, this is descriptive, not proscriptive.

You should just pick whatever seems the most agreeable to you, use it consistently, and explain clearly somewhere (eg in a comment or wiki page) what choices you are making.

In certain cases it can make sense to include more than one ordering and cross-reference them.  This might greatly increase the findability of the submission by increasing its "search cross section" -- both for humans and for algorithms such as superseeker.

Moreover, independently of the values the mappings between the different orderings themselves can also be submitted as "permutation of the integers" type entries, with suitable discussion and cross-refs.  Then different orderings of Axxxxxx can be succinctly described in the form  Axxxxxx(Ayyyyyy(n)).

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