|
|
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
|
|
|
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
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|