A062163 is dup of A002729 (was: Strung out on necklaces ... :-/)

[Max Alekseyev]

Actually, A062163 is a duplicate of (much developed) A002729 with the
only difference that A002729 lacks the 0th term.

Neil, I suggest to prepend the 0th term (equal 1) to A002729 and merge
A062163 to it (moving the current %E field of A062163 to the %C field
of A002729).

Regards,
Max

On 6/17/07, Max Alekseyev <maxale at gmail.com> wrote:
> On 6/17/07, Jon Schoenfield <jonscho at hiwaay.net> wrote:
>
> > (1) what "reduces exactly" means (in the Extension field for A062163) in the
> > sentence, "The sequence reduces exactly the objects of A000029"?
>
> As I understand, this statement means that A062163 counts the same
> objects (i.e., necklaces) as A000029 but some of the necklaces viewed
> as distinct in A000029 may be viewed as equal in A062163.
> In particular, this implies that A062163(n) <= A000029(n) for every n.
>
> > (2) whether the sense in which the word "similar" is used (in "similar
> > necklaces count only once") is fairly common in mathematics?  It seems
> > counterintuitive to me.
>
> It is OK as soon as the definition of "similar" (or whatever other
> non-common term) is given.
> A062163 provides a precise definition of "similar" in the %E field.
>
> Regards,
> Max
>




be on vacation.  What this means: 
- continue to send important new sequences and comments

- don't send less important sequences or minor comments

There will still be updates, but not so many.

There is still a large backlog of new seqs and comments
that I am working on.

Neil