Groups > comp.soft-sys.math.maple > #1246

Re: A hypergeometric sum

Newsgroups	comp.soft-sys.math.maple
Date	2017-09-11 11:53 -0700
References	<1488a86c-b7e0-4ce2-9741-068fbc4d440b@googlegroups.com>
Message-ID	<8295e462-228f-4b0a-b16e-9ebe4474168f@googlegroups.com> (permalink)
Subject	Re: A hypergeometric sum
From	acer <maple@rogers.com>

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On Saturday, September 9, 2017 at 3:41:17 AM UTC-4, Peter Luschny wrote:
> -(-1/2)^k*(n+1)!*hypergeom([1-k, n/2+1, (n+3)/2], [3/2, 2], 1)/(k-1)!;
> 
> 1
> 3, 1
> 12, 3, 1
> 60, 40, 18, 1
> 
> -(-1/2)^k*(n+1)!*HypergeometricPFQ[{1-k, n/2+1, (n+3)/2}, {3/2, 2}, 1]/(k-1)!; 
> 
> {1},
> {3, 1},
> {12, 9, 1},
> {60, 75, 18, 1},
> 
> Who wins?

On 64bit Linux I get the latter result (like from your Mma input) in Maple versions 17.00 (released Feb 2013) through to 2017.2 .

I get the former result in Maple 16.02, 15.01, and 14.01.

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A hypergeometric sum Peter Luschny <peter.luschny@gmail.com> - 2017-09-09 00:41 -0700
  Re: A hypergeometric sum acer <maple@rogers.com> - 2017-09-11 11:53 -0700
    Re: A hypergeometric sum Peter Luschny <peter.luschny@gmail.com> - 2017-09-12 10:54 -0700

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