[seqfan] Re: Reciprocal Recaman

[Michael Porter]

So in other words,

1/(n+1) +- 1/(n+2) +- 1/(n+3) +- ... +- 1/(n+k) = 0

has no solutions for positive integers n,k.

- Michael






On Saturday, November 16, 2013 12:44 PM, David Wilson <davidwwilson at comcast.net> wrote:
 
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
> 
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