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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 (list; table; graph; refs; listen; history; text; internal format)
 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 R. H. Hardin, Table of n, a(n) for n = 1..129 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 Adjacent sequences:  A200035 A200036 A200037 * A200039 A200040 A200041 KEYWORD nonn,tabl AUTHOR R. H. Hardin Nov 12 2011 STATUS approved

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