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A200038
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
12
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, 0, 0, 14, 78, 444, 1074, 1450, 214, 2, 0, 16, 114, 808, 3054, 7384, 5268, 1140, 0, 0, 18, 152, 1330, 7104, 25814, 41228, 25070, 1882, 2, 0, 20, 200, 2068, 14156, 72220, 192280
OFFSET
1,3
COMMENTS
Table starts
.0....0......0.......0........0.........0.........0.........0.........0
.2....4......6.......8.......10........12........14........16........18
.0....2.....14......28.......52........78.......114.......152.......200
.2...28.....84.....218......444.......808......1330......2068......2996
.0...26....264....1074.....3054......7104.....14156.....25546.....42928
.2..168...1450....7384....25814.....72220....169170....351964....667998
.0..214...5268...41228...192280....674234...1882238...4559584...9869410
.2.1140..25070..262004..1557104...6674940..22017152..61742902.151999794
.0.1882.102854.1565836.12157838..64642466.254776338.828832824
.2.7930.460146.9730070.97030120.635825548
LINKS
EXAMPLE
Some solutions for n=7 k=6
.-3....1...-6...-6...-3....1...-6....4...-6...-3....4...-3....4....1....1...-6
.-6...-3....1...-2....4...-3....4...-3....1....4....5....1...-3....5...-5....2
..2....2....5....5...-2....5...-3...-1....3....3...-6...-1...-4...-6....4...-6
..4...-2....3...-3...-4...-3...-1...-6...-1...-3...-3....6...-1....4....3....5
.-2....6...-4....3....4....4....5....4....4....2....5...-1...-2...-1...-6....2
..3....1...-2....1....3...-6...-2...-2....2...-6...-1....1....1...-4....4....5
..2...-5....3....2...-2....2....3....4...-3....3...-4...-3....5....1...-1...-2
CROSSREFS
Sequence in context: A258701 A246160 A081120 * A249093 A102392 A227311
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 12 2011
STATUS
approved