[seqfan] Re: Reciprocal Recaman

David Wilson davidwwilson at comcast.net
Sat Nov 16 23:35:35 CET 2013

```But actually I was conjecturing that the partial sums of each sequence of
the form

1/1 +- 1/2 +- 1/3 +- 1/4 +- 1/5 +- ...

are all distinct, not that the partial sums of distinct sequences are
distinct.

So there. :-P

> -----Original Message-----
> From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of David
> Wilson
> Sent: Saturday, November 16, 2013 3:45 PM
> To: 'Sequence Fanatics Discussion list'
> Subject: [seqfan] Re: Reciprocal Recaman
>
> Well, it didn't take 400 years to disprove that one.
>
> > -----Original Message-----
> > From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of M. F.
> > Hasler
> > Sent: Saturday, November 16, 2013 2:08 PM
> > To: Sequence Fanatics Discussion list
> > Subject: [seqfan] Re: Reciprocal Recaman
> >
> > On Sat, Nov 16, 2013 at 12:26 PM, David Wilson
> > <davidwwilson at comcast.net> wrote:
> > > The partial sums of
> > >         1/1 +- 1/2 +- 1/3 +- 1/4 +- 1/5 +- ...
> > > are distinct for any choice of signs.
> >
> > Since this is formulated in a slightly ambiguous way, you may easily
> defend
> > the thesis that, e.g.,
> >
> > 1-1/2-1/3+1/4-1/5 = 13/60
> > and
> > 1-1/2+1/3-1/4-1/5-1/6 = 13/60
> >
> > do not provide a counter-example...
> >
> > ;-)
> >
> > Maximilian
> >
> > _______________________________________________
> >
> > Seqfan Mailing list - http://list.seqfan.eu/
>
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/

```

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