fractal sequences
Ralf Stephan
ralf at ark.in-berlin.de
Mon May 26 11:48:47 CEST 2003
> example: A066194 :: plot it as (x= k, y= a[k])
> (??)
> How many are at the same time a permutation over (all) the integers like
> A066194?
There is the evergreen A003188 (Gray code). It is 2-regular, which
I conjecture herewith A066194 to be, too. And I'll add, again, that
I suspect any self-similar sequence to have that property, as well as
having an ogf that is expressible as an infinite sum where k is in
the exponent of x. Most 2-regulars have an ogf with sum...x^2^k...,
for example.
Can you prove it?
ralf
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