Possible Permutations With Mod

[Max Alekseyev]

As of A125718, it is a permutation as soon as every positive integer
belongs to A004648 (which is true, I believe).

Max

On 3/24/07, Ferenc Adorjan <fadorjan at freemail.hu> wrote:
> Dear Seqfans,
>
> After studying further the sequences of Leroy Quet (A125715, A125717,
> A125718 & A125727), I am doubting now that they were permutations of
> positive integers. Instead, these seqeunces seem consisting of an infinite
> number of disjoint "chains" of infinite length (such that a(a(...a(n))) is
> also a member of the sequence for any depth, while n is missing). This
> statement is based on numerical explorations made on 25000 and also on 50000
> elements of the sequences. More detailed info can be found in:
> http://web.axelero.hu/fadorjan/l_quet.pdf
> (the draft is substantially revised since my previous communication!)
> I am curious, if anybody can propose some formal proof relating the nature
> of this class of sequences...
> Or, any other comments are welcome.
> Regards
>
> Ferenc
>
>