[seqfan] Re: An interesting series of sequences related to A358094

[Yifan Xie]

See
https://oeis.org/wiki/User:Yifan_Xie




---- Replied Message ----
| From | israel at math.ubc.ca |
| Date | 01/06/2024 02:12 |
| To | Sequence Fanatics Discussion list<seqfan at list.seqfan.eu> |
| Cc | |
| Subject | [seqfan] Re: An interesting series of sequences related to A358094 |
The attached files were not attached. I suspect the mailing list does not
permit attachments. Can you put your files online somewhere and send us
links?

Cheers,
Robert

On Jan 5 2024, Yifan Xie wrote:

>Dear SeqFans,
>
>
> Consider the following series of sequences: a(n) is the number of ways n
> can be reached in the following method: we start with 1, then add or
> multiply alternately, and each operand must be included in the set A. Let
> A be {2, 3}, then the generated sequence is A358094. Let A be {2, 3,
> 4}=A1, {3, 4, 5}=A2, {4, 5, 6}=A3, etc. These sequences have very
> distinct graphs: (See attached files) As for A1, the sequence pattern is
> generally increasing with a major gap between two clusters. The fitting
> upper bond is approximately 0.3791*x^1.2667. As for A2 and A3, the
> increasing patterns are not so apparent, but it appears that the graphs
> have periodic patterns. These are interesting problems, so I want to
> share them with SeqFans.
>
>
>Best regards,
>
>
>Yifan Xie (xieyifan4013 at 163.com)
>
>
>--
>Seqfan Mailing list - http://list.seqfan.eu/
>
>

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