[seqfan] Re: Iteration of k -> sigma(k)-1

[Hugo Pfoertner]

Neil, all,

for A039655 an a-file of 1 million terms is available.

The records of A039655 I've computed so far are
0, 2, 5, 6, 7, 11, 13, 15, 17, 21, 23, 24, 25, 26, 29, 40, 42, 44, 45, 46,
47, 54, 55, 56, 57, 58,

A corresponding extension of A292114 is submitted.

Hugo Pfoertner


On Fri, Sep 22, 2017 at 3:10 PM, Neil Sloane <njasloane at gmail.com> wrote:

> Dear Seq Fans,
> According to Richard Guy, Erdos conjectured that the trajectory of n under
> that map always reaches a prime. A039654 gives the prime reached, or -1 (I
> changed the escape value to make it consistent with similar sequences),
> and A039655 gives no. of steps.
> I just created A292112 and -3 for the records in A039654. They need
> b-files.
> The record values in A039655 appear to match A073485, but surely that is
> just a coincidence, so could someone please compute more terms? The
> positions of the records in A039655 is the new A292114.
>
> In other words, the records in the present b-file for A039655 are [0, 2, 5,
> 6, 7, 11, 13, 15, 17] - how does this continue?
> The positions of the records are [2, 4, 9, 121, 301, 441, 468, 3171, 8373]
> which is now A292114. How does this continue, and what ARE these numbers?
>
> A039655 could use a bigger b-file, or an a-file with 100,000 or more terms.
>
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