Sequence & Its Numerators & Denominators

[all at abouthugo.de]

Leroy Quet <qqquet at mindspring.com> schrieb am 26.02.2003, 04:10:21:
> I just submitted this to sci.math. I already sent the m=1 example to 
> seq.fan a little while back. Perhaps someone could calculate the 
> numerator/denominator sequences for the first couple of m's and post them 
> to the EIS.
> 
> Thanks,
> Leroy Quet
> 
> ---------------
> 
> 
> This is a generalization of the sequence discussed at:
> http://mathforum.org/discuss/sci.math/t/482979
> 
> Given a fixed positive integer m;
> 
> Let a[1] = any nonzero rational where its denominator is relatively
> prime to m.
> 
> Let:
>                      1
> a[k+1] = a[k] + -------------  , for all positive integers k.
>                  m + 1 /a[k]
> 
<snip>

Done for m=2,3 (A080984 ... A080991)

Regards
Hugo Pfoertner