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A268142
T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to at least one diagonal or antidiagonal neighbor and the top left element equal to 0.
3
0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 3, 0, 6, 0, 0, 5, 8, 6, 0, 0, 0, 12, 32, 672, 0, 120, 0, 0, 26, 238, 4734, 5760, 120, 0, 0, 0, 60, 1488, 177048, 218880, 1411560, 0, 5040, 0, 0, 143, 9778, 4131792, 59028840, 97608120, 25024320, 5040, 0, 0, 0, 353, 91628, 132137160
OFFSET
1,12
COMMENTS
Table starts
.0....0....0........0........0........0.......0.........0.....0...0.0
.0....1....1........3........5.......12......26........60...143.353
.0....0....0........8.......32......238....1488......9778.91628
.0....6....6......672.....4734...177048.4131792.132137160
.0....0....0.....5760...218880.59028840
.0..120..120..1411560.97608120
.0....0....0.25024320
.0.5040.5040
.0....0
.0
EXAMPLE
Some solutions for n=4 k=4
..0..3..3..2....0..3..2..3....0..2..3..3....0..3..2..0....0..2..2..3
..3..0..2..3....3..0..3..2....2..0..3..3....3..0..0..2....2..0..3..2
..1..2..0..1....2..0..1..1....1..0..1..2....1..1..3..2....0..3..1..1
..2..1..1..0....0..2..1..1....0..1..2..1....1..1..2..3....3..0..1..1
CROSSREFS
Column 2 and column 3 are A005212(n-1).
Row 2 is A267725.
Sequence in context: A129502 A099892 A060147 * A321254 A262605 A092731
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 27 2016
STATUS
approved