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  • A hypergeometric sum

    From Peter Luschny@21:1/5 to All on Sat Sep 9 00:41:16 2017
    -(-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?

    --- SoupGate-Win32 v1.05
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  • From acer@21:1/5 to Peter Luschny on Mon Sep 11 11:53:15 2017
    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.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Peter Luschny@21:1/5 to All on Tue Sep 12 10:54:45 2017
    Am Montag, 11. September 2017 20:53:17 UTC+2 schrieb acer:
    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.

    Thanks! I thought I'd better draw attention to the Maple bug
    in case it has not been fixed yet.

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    * Origin: fsxNet Usenet Gateway (21:1/5)