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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: A048298 A123565 A081120 * A102392 A227311 A178515

Adjacent sequences:  A200035 A200036 A200037 * A200039 A200040 A200041

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 12 2011

STATUS

approved

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Last modified July 31 17:29 EDT 2014. Contains 245085 sequences.