querying multidimensional sequences in OEIS

[Max A.]

On 11/7/06, franktaw at netscape.net <franktaw at netscape.net> wrote:

> Exactly what factorization order?  For most numbers, the sequence of
> prime power exponents is not a sequence of positive integers.  If 2
> represents the sequence (1), what sequence does 3 represent?
>
> If doesn't work any better to use prime power exponents to represent
> sequences of non-negative integers.  If 2 is (1) and 3 is (0,1), what
> do you use to represent (1,0)?

Actually, the sequences that I mentioned recently does not depend on
trailing zeros, so index (1,0) for them is the same as (1). That's why
the factorization order works well for them.

> A066099 sorts, first of all, by the number being composed; I think any
> reasonable standard candidate should do that.  Second, it is simple,
> with a definition tied in to the binary numbers.  Third, it is similar
> to the
> Mathematica ordering for partitions (subsort in reverse lexicographic
> order), which is one of the two standards for partition ordering in the
> OEIS.

I see now the advantages of the A066099 ordering. And I agree that it
is a good candidate for the "standard".

Max