[seqfan] Re: A076884

Neil Sloane njasloane at gmail.com
Tue Oct 16 15:07:22 CEST 2012


If I understand him correctly, Ed Jeffery proposed defining a sequence
by a(n) = floor(c*Pi^n), where c=0.28369744101432748943672190793123126...
This is a No-No, because c is not well defined.

If c was known exactly, for example as Pi^2/7, of course this would be OK.

Neil

On Mon, Oct 15, 2012 at 4:39 PM, Ed Jeffery <lejeffery2 at gmail.com> wrote:

> Correct. However, if the title is changed to "Let u(0) = 0, u(n) =
> Pi*floor(u(n-1), then a(n) = u(n)/Pi - 1," then the correct sequence is
> generated, except for the first term which should obviously be changed to
> a(1) = 0.
>
> What is wrong with just having the formula
>
> a(n) = floor(c*Pi^n), etc.,
>
> for the title, and what is the point of setting a(1) = 1 instead of = 0?
>
> LEJ
>
> >It seems to me that according to the definition, a(2) should be 3, not 2:
> >u(0) = 1
> >u(1) = Pi*floor(u(0)) = Pi,        a(1) = 1
> >u(2) = Pi*floor(u(1)) = 3*Pi,      a(2) = 3
> >u(3) = Pi*floor(u(2)) = 9*Pi,      a(3) = 9
>
> >Robert Israel
> >University of British Columbia
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>



-- 
Dear Friends, I have now retired from AT&T. New coordinates:

Neil J. A. Sloane, President, OEIS Foundation
11 South Adelaide Avenue, Highland Park, NJ 08904, USA
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Email: njasloane at gmail.com



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