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%I #5 Mar 31 2012 12:36:37
%S 0,0,2,0,4,0,0,6,2,2,0,8,14,28,0,0,10,28,84,26,2,0,12,52,218,264,168,
%T 0,0,14,78,444,1074,1450,214,2,0,16,114,808,3054,7384,5268,1140,0,0,
%U 18,152,1330,7104,25814,41228,25070,1882,2,0,20,200,2068,14156,72220,192280
%N T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with sum zero and with zeroth through n-1st differences all nonzero
%C Table starts
%C .0....0......0.......0........0.........0.........0.........0.........0
%C .2....4......6.......8.......10........12........14........16........18
%C .0....2.....14......28.......52........78.......114.......152.......200
%C .2...28.....84.....218......444.......808......1330......2068......2996
%C .0...26....264....1074.....3054......7104.....14156.....25546.....42928
%C .2..168...1450....7384....25814.....72220....169170....351964....667998
%C .0..214...5268...41228...192280....674234...1882238...4559584...9869410
%C .2.1140..25070..262004..1557104...6674940..22017152..61742902.151999794
%C .0.1882.102854.1565836.12157838..64642466.254776338.828832824
%C .2.7930.460146.9730070.97030120.635825548
%H R. H. Hardin, <a href="/A200038/b200038.txt">Table of n, a(n) for n = 1..129</a>
%e Some solutions for n=7 k=6
%e .-3....1...-6...-6...-3....1...-6....4...-6...-3....4...-3....4....1....1...-6
%e .-6...-3....1...-2....4...-3....4...-3....1....4....5....1...-3....5...-5....2
%e ..2....2....5....5...-2....5...-3...-1....3....3...-6...-1...-4...-6....4...-6
%e ..4...-2....3...-3...-4...-3...-1...-6...-1...-3...-3....6...-1....4....3....5
%e .-2....6...-4....3....4....4....5....4....4....2....5...-1...-2...-1...-6....2
%e ..3....1...-2....1....3...-6...-2...-2....2...-6...-1....1....1...-4....4....5
%e ..2...-5....3....2...-2....2....3....4...-3....3...-4...-3....5....1...-1...-2
%K nonn,tabl
%O 1,3
%A _R. H. Hardin_ Nov 12 2011
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