[seqfan] Re: Mathematica's or my err?

zak seidov zakseidov at yahoo.com
Sat Apr 24 19:22:54 CEST 2010


Dear Hans, 
thank you 
and David, 
and Alexander!

Unfortunately, there is no way to pay credit to you all in submission (A175385/6?),
so I only can repeat again:
many thanks to you
and to the whole wonderful 
OEIS  Universe.

--- On Sat, 4/24/10, Hans Havermann <pxp at rogers.com> wrote:

> From: Hans Havermann <pxp at rogers.com>
> Subject: [seqfan] Re: Mathematica's or my err?
> To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
> Date: Saturday, April 24, 2010, 1:05 PM
> David W. Cantrell:
> 
> > I'm not running the most recent version of Mathematica
> and so I
> > checked with Wolfram Alpha. Asked to compute
> >
> > Sum[(1/i)*Binomial[2n-i-1,i-1],{i,1,n}]
> >
> > it returns
> >
> > (-1 + Hypergeometric2F1[1/2 - n, -n, 1 - 2 n, -4])/(2
> n)
> 
> Mathematica 7.0 returns
> 
> (-1 + Hypergeometric2F1[-n, 1/2 - n, 1 - 2 n, -4])/(2 n)
> 



      




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