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

[Max Alekseyev]

Hi Hugo,

The key property of the sequence is being infinite.
While it may look like 122 provides an alternative for A259934(21), in fact
it is not -- the sequence would die (either immediately or after a number
of steps) if we let A259934(21)=122.

I hope this explains the definition.

Regards,
Max


On Thu, Jul 9, 2015 at 2:07 PM, <hv at crypt.org> wrote:

> Max, I'm not sure if I'm misinterpreting the intent of:
>
>   Numerical evidence suggests that it may be also unique -- is it?
>   All terms below 10^9 are defined uniquely.
>
> .. but I observe that 122 - d(122) = 121 - d(121) = 118, which as I
> interpret it implies 121 is not a unique choice for A259934(21).
> (I noticed that by chance, I haven't checked for other examples.)
>
> I agree they're nice sequences though. :)
>
> Hugo
>
> Max Alekseyev <maxale at gmail.com> 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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