Proposes updates to A033178, A033179. [multiset notations]

Hugo Pfoertner all at abouthugo.de
Fri Apr 8 23:40:52 CEST 2005


Marc LeBrun wrote:
> 
>  >=Brendan McKay
>  > Can I suggest "1 (n-2 times)"?
> 
> This is clear enough for this sequence...
> ...do we need to adopt a standard for the OEIS?
> 
>  > Let's not use nonstandard notation as both these suggestions are.
> 
> What notation, if any, is "standard" for multisets aka "bags"?
> 
> The most common choice seems to be to overload exponentiation, so
> 
>    {n, 2, 1x(n-2)}
> 
> would be written
> 
>    n^1 2^1 1^(n-2).
> 
> The asymmetry of the left and right operands of ^ is already established
> and familiar, as is equivalence under reordering of the "factors".

A similar notation was also found to be useful to describe the segments
of difference sets aka. "rulers". For a nice example, see Peter
Luschny's

http://www.luschny.de/math/rulers/optimalconjecture.html

(which is part of http://www.luschny.de/math/rulers/prulers.html )

Hugo Pfoertner





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