Request for information about basis representation
Jon Awbrey
jawbrey at att.net
Thu Mar 3 20:30:54 CET 2005
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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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