[seqfan] Re: corollary to the Collatz conjecture?

[Gottfried Helms]

Am 28.07.2017 um 17:47 schrieb Bob Selcoe:
> 
> Hi Seqfans,
> 
> I'm wondering if there is a corollary to the Collatz conjecture for k >= 0, that 3x + 3^k eventually terminate with a 4-term loop [3^k => 4*3^k => 2*3^k => 3^k].  
> 
> So 3x+1 is simply k=0 with terminal loop [1,4,2,1];  k=1 is 3x+3 with loop [3,12,6,3];  k=2 is 3x+9 with loop [9,36,18,9]; etc. 
>  
> There do not appear to be any OEIS entries pertaining to k > 0.
> 
If I recall correctly then R. Crandall has something about this in his
1978 paper - but I'm not sure, don't have access at the moment.

Gottfried