[seqfan] Re: Decreasing runs - a permutation of the naturals

Eric Angelini Eric.Angelini at kntv.be
Sun Aug 22 23:40:08 CEST 2010


Funny, Alex, I was doing exactly that:
the list of integers staying at their
original places!
(but I guess this is not of much  interest ;-))
Best,
E.

Envoyé de mon iPhone

Le 22 août 2010 à 23:27, "Alex M" <timeroot.alex at gmail.com> a écrit :

> Upon a bit of inspection, one can see that there are an infinite  
> number of
> fixed points in the sequence... they are
>
> 3,5,15,39....
>
> I wonder if there are an infinite of number of sequences like the  
> two you
> have mentioned?
>
> ~6 out of 5 statisticians say that the number of statistics that  
> either make
> no sense or use ridiculous timescales at all has dropped over 164%  
> in the
> last 5.62474396842 years.
>
>
> On Sun, Aug 22, 2010 at 2:09 PM, Eric Angelini  
> <Eric.Angelini at kntv.be>wrote:
>
>>
>> As in my previous post (increasing and self-describing runs), here is
>> another
>> permutation of the natural numbers:
>>
>> T=2,1,3,6,5,4,12,11,10,9,8,7,17,16,15,14,13,21,20,19,18,33,32,...
>>
>> Those are decreasing runs, for a change:
>> 2,1,
>> 3,
>> 6,5,4,
>> 12,11,10,9,8,7,
>> 17,16,15,14,13,
>> 21,20,19,18,
>> ...
>>
>> Size of the said runs:
>> 2,
>> 1,
>> 3,
>> 6,
>> 5,
>> 4,
>> ...
>>
>> which re-forms T.
>>
>> Best,
>> E.
>>
>>
>>
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>>
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>>
>
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