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

[Alex M]

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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