[seqfan] Re: Reciprocal Recaman

Michael Porter michael_b_porter at yahoo.com
Sun Nov 17 06:48:30 CET 2013

```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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>
> Seqfan Mailing list - http://list.seqfan.eu/

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