The OEIS will be on holiday for the rest of the year!

[Michele Dondi]

On Mon, 9 Jan 2006, Thomas Baruchel wrote:

>> base-dependent sequences? I find most of them mostly uninteresting and
>> occasionally even annoying, unless something interesting can be said about
>> the particular base being used.
>
> I agree ; they don't rest upon any real mathematical property.

Well, that is quite a radical claim that I don't feel like subscribing as 
stated, either. In particular decimal expansion, or expansion in any base, 
for what it matters, has a precise mathematical definition and such 
sequences _do_ rest upon "real" mathematical property. Only, in most 
cases, these are not particularly interesting or significative.

There are exceptions though, like the celebrated Conway's (although I'm 
not really sure it's *his*) "Look and Say sequence" sequence, A005150 
which eventually turns out not being really base dependent - as long as 
base is greter than or equal to 4 (we must have digits 1,2,3), so that it 
would be interesting to study it in base 2 and 3 too.


Michele
-- 
A programmer who hasn't been exposed to all four of the imperative,
functional, objective, and logical programming styles has one or
more conceptual blindspots.  It's like knowing how to boil but not
fry.  Programming is not a skill one develops in five easy lessons.
- Tom Christiansen