[seqfan] Re: defn of A032452 transients in modified Poulet

[Neil Sloane]

Richard,
I found the original submissions from Ursula Gagelmann from 1998.
For A032450 there was a formula that I have now added to the entry (I see
you also added a comment - presumably saying the same thing, I did not have
time to check).

For A032452 unfortunately there is nothing more than what I put in the
entry for the sequence (except the submission date, which I have now added)
She definitely says the offset is 0. However, that does not mean anything
since  0 was the default offset and she did not change it in any of her
half-dozen submissions at that time.  Perhaps she did not understand the
significance of the offset.
So it is very likely the offset in A032452 should be 1 not 0.

Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com



On Fri, May 8, 2020 at 11:32 AM Richard J. Mathar <mathar at mpia-hd.mpg.de>
wrote:

> It would be nice to have a definition of a(n) in terms of n in A032452
> (modified Poulet sequences).
> Starting at n, we have the sequences
> [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,...],
> [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,...],
> [3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1,...],
> [4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1,...],
> [5, 4, 2, 3, 2, 1, 1, 1, 1, 1, 1,...],
> [6, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1,...],
> [7, 6, 2, 3, 2, 1, 1, 1, 1, 1, 1,...],
> [8, 4, 2, 3, 2, 1, 1, 1, 1, 1, 1,...],
> [9, 6, 2, 3, 2, 1, 1, 1, 1, 1, 1,...],
> [10, 4, 2, 3, 2, 1, 1, 1, 1, 1, 1,...]
> [11, 10, 4, 7, 6, 2, 3, 2, 1, 1, 1,...]
> [12, 4, 2, 3, 2, 1, 1, 1, 1, 1, 1,...]
> [13, 12, 4, 7, 6, 2, 3, 2, 1, 1, 1,...]
> ...
> if we iterate twice phi(.) and once sigma(.) on the elements in these
> sequences.
> I suspect that a(n) is somehow a cumulation of periods or their transients,
> similar to A032450, but cannot find how that might actually be realized in
> A032452.
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/
>