[seqfan] Re: apparently unique infinite sequences related to the sum of divisors

[Max Alekseyev]

Falcao proved that there is an infinite sequence starting with 2 (or 0 if
you like). I have verified that all its values below 10^10 are uniquely
defined (all possible bifurcations die sooner or later). So we can be sure
that there is no deadend for A259934. It is an open question though if
there exists a viable bifurcation point.
Max


On Thu, Jul 9, 2015 at 3:06 PM, <israel at math.ubc.ca> wrote:

> How do you know your values for A259934 are correct? It's true that a(n) -
> d(a(n)) = a(n-1) for the listed values, but how do you know you don't run
> into a dead end? Falcao apparently (I don't read Russian) proved there is
> an infinite sequence, but there are also long finite sequences that have
> dead ends.
>
> Cheers,
> Robert
>
>
> On Jul 9 2015, Max Alekseyev wrote:
>
>  SeqFans,
>>
>> I'd like to draw your attention to two newly added nice sequences:
>>
>> http://oeis.org/A259934
>> http://oeis.org/A259935
>>
>> Comments are welcome.
>>
>> Regards,
>> Max
>>
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