Request for information about basis representation

[David C Terr]

How do you define a complex base?

Dave






Jon Awbrey <jawbrey at att.net>
03/03/2005 11:30 AM

 
        To:     SeqFan <seqfan at ext.jussieu.fr>
        cc: 
        Subject:        Re: Request for information about basis representation

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much fun can be had by varying the base over the complex plane ---
e.g.,  replacing base 2 with base i yields pretty fractal pics
as you run through the binary reps of the integers ...

ja

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Ralf Stephan wrote:
> 
> > I'm interested in the algebraic properties of the set of numbers
> > whose coefficients S are fixed but whose base varies from two to
> > infinity.  In the case of 35, this set is {35, 247, 1029...}, or:
> 
> The sequences 'replace 2^k with a^k in binary expansion of n'
> are the square array of which your sequences form the columns.
> The rows were treated in
> 
> http://www.ark.in-berlin.de/dcgfproof.ps
> 
> Hope this helps a bit,
> ralf

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inquiry e-lab: http://stderr.org/pipermail/inquiry/
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