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?
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