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.

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

Author

R. H. Hardin, Jan 27 2016

Keywords

• nonn
• tabl

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

Examples

			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.