[seqfan] Re: Worry about old sequence, A030077, paths in K_n

[Sean A. Irvine]

So far I can verify to A030077(14):

2022-04-02 21:46:54 1
2022-04-02 21:46:54 1
2022-04-02 21:46:54 1
2022-04-02 21:46:54 3
2022-04-02 21:46:54 5
2022-04-02 21:46:54 17
2022-04-02 21:46:54 28
2022-04-02 21:46:54 105
2022-04-02 21:46:54 161
2022-04-02 21:46:54 670
2022-04-02 21:46:55 1001
2022-04-02 21:47:00 2869
2022-04-02 21:47:58 6188
2022-04-02 22:01:58 26565

I adapted my existing program for A007874 to this case.  I'm not sure why I
skipped over it before, but perhaps the dihedral group confused me.  The
program uses 50 digits of precision for the length determination. I feel
like it should be possible to do this without any kind of precision limit,
but I don't have the time for that now.  I'll leave it running overnight.

I'll also start a run for A007874 itself which also has four additional
terms with a(15) looking a little suspicious.

Sean.



On Sat, 2 Apr 2022 at 16:22, Neil Sloane <njasloane at gmail.com> wrote:

> To Seq Fans, The creator of an interesting sequence,  A030077, Daniel
> Gittelson, submitted 12 terms in 1999, and 4 more terms were added in 2007
> by a former editor. Daniel G. wrote to me today, expressing doubt about the
> 4 additional terms.
>
> He says he interrupted his study of sequences to pursue a medical career,
> but now that he is retired, he can return to combinatorics.
>
> It would be nice if someone could verify the terms! (It is not at all
> obvious to me how to do this.)
>
> Neil Sloane
>
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