[r-t] Extension of TDMMs
Philip Saddleton
pabs at cantab.net
Sat Aug 14 20:40:40 UTC 2004
Richard Smith <richard at ex-parrot.com> wrote at 18:06:35 on Sat, 14 Aug
2004
>I checked Beverley and Surfleet further -- up to 100 bells
>-- and it does appear to be an indefinite series: 6, 28, 52,
>76, 100. If you ignore the first step, it does form an
>arithmetic progression.
So 6 is sporadic. On reflection, this is more likely. (And of course 4
is always regular.)
> Freq Series
> ------------------------------------------
> 136 4n + 6 (n != 1 mod 3)
> 76 2n + 6 (n != 2 mod 3)
> 4 4n + 6 (n != 4 mod 7) ??
> 2 8n + 6 (n != 2 mod 3) ??
> 1 6, 4n + 8 (n != 2 mod 3)
> 1 6, 8n + 12 (n != 2 mod 3)
Are these exceptions because they have short courses?
> 1 4n + 6 (n != 7 (mod something?)) ??
mod 11?
> 1 2n + 6 (n != 1, n != 22) ??
Does n=1 come round? In which case (n != 1 mod 21)?
--
Regards
Philip
http://www.saddleton.freeuk.com/
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