[seqfan] Re: multiplicative set-like sequences
Charles Greathouse
charles.greathouse at case.edu
Wed Feb 16 15:02:30 CET 2011
I think so, yes. It's most natural to think of some sequences as
sets, but there may still be interest in the sequence interpretation.
Charles Greathouse
Analyst/Programmer
Case Western Reserve University
On Wed, Feb 16, 2011 at 8:36 AM, Max Alekseyev <maxale at gmail.com> wrote:
> SeqFans,
>
> We have a keyword 'mult' for multiplicative sequences satisfying the property:
> a(mn)=a(m)a(n) if g.c.d.(m,n)=1
>
> However, besides functional sequences, we have many set-like sequences
> defined by phrases like "Integers n such that ...".
> The multiplicativeness property is naturally defined for such sequences as
> mn in the the sequence if m,n are in the sequence and g.c.d.(m,n)=1
>
> Should such set-like sequences are also marked with the 'mult' keyword?
> A typical candidate would be A023172.
>
> Regards,
> Max
>
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