Groups > comp.soft-sys.math.maple > #1209

Re: Doublefactorial and Pochhammer

Newsgroups	comp.soft-sys.math.maple
Date	2015-11-05 16:05 -0800
References	<18156841-3104-434f-8cdc-1999bb794b97@googlegroups.com>
Message-ID	<26901646-4e0f-4a5d-8722-8ac111edbd1e@googlegroups.com> (permalink)
Subject	Re: Doublefactorial and Pochhammer
From	jfh <john.harper@vuw.ac.nz>

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On Friday, November 6, 2015 at 12:00:07 PM UTC+13, Peter Luschny wrote:
> a := n -> doublefactorial(2*n-1)-2^n*pochhammer(1/2,n):
> seq(a(n), n=0..99);
> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
> 
> a(100)
> 6666308670072953744411215006735034163324489389674388736363184954745922258576896518414625915283128424390474317708176893511841954015267176587405666801912441638268530971962511539459228515625-1267650600228229401496703205376*GAMMA(201/2)/sqrt(Pi)
> 
> Can somebody explain this sudden jump?
> 
> Peter

No, but I believe the answer from Maple 2015 because:

> simplify(%);
                                       0

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Doublefactorial and Pochhammer Peter Luschny <peter.luschny@gmail.com> - 2015-11-05 15:00 -0800
  Re: Doublefactorial and Pochhammer jfh <john.harper@vuw.ac.nz> - 2015-11-05 16:05 -0800
    Re: Doublefactorial and Pochhammer Peter Luschny <peter.luschny@gmail.com> - 2015-11-06 00:40 -0800
  Re: Doublefactorial and Pochhammer Joe Riel <joer@san.rr.com> - 2015-11-09 15:44 -0800

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