[r-t] Extension of TDMMs

[Philip Saddleton]

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/