[seqfan] Re: patterns continue for larger numbers? generalised question

[Neil Fernandez]

In message <qtdnxXAr2dmdFwp2 at borve.org>, Neil Fernandez
<primeness at borve.org> writes

>A generalised question that comes to mind is this:
>
>is there any (n,t,u) (t>1,u>1) for which the sequence
>
>a(1)=n;
>a(i+1) = a(i)/t if n|t, otherwise a(i+1)= a(i) + smallest uth power > i
>
>does not reach a cycle?

Typo. The second line of the definition should read:

a(i+1) = a(i)/t if t|a(i),
               otherwise a(i+1)= a(i) + smallest uth power > i

Neil

-- 
Neil Fernandez