A268159 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to at least one vertical or antidiagonal neighbor and the top left element equal to 0.

0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 3, 8, 6, 0, 0, 7, 14, 36, 0, 0, 0, 17, 52, 906, 456, 120, 0, 0, 42, 1516, 31818, 23592, 6360, 0, 0, 0, 104, 7582, 770406, 10213152, 3304920, 93600, 5040, 0, 0, 259, 46338, 28194516, 871718016, 4067565720, 334738800, 1784160, 0, 0, 0, 648

Offset: 1

Author

R. H. Hardin, Jan 27 2016

Keywords

• nonn
• tabl

Comments

Table starts

.0....0.......0.........0..........0.............0............0.........0

.0....1.......1.........3..........7............17...........42.......104

.0....0.......8........14.........52..........1516.........7582.....46338

.0....6......36.......906......31818........770406.....28194516.857204082

.0....0.....456.....23592...10213152.....871718016.131259920304

.0..120....6360...3304920.4067565720.2310125813160

.0....0...93600.334738800

.0.5040.1784160

.0....0

.0

Examples

			Some solutions for n=4 k=4
..0..3..3..1....0..3..2..3....0..3..1..2....0..2..1..2....0..0..1..1
..0..3..2..1....0..3..2..3....0..3..1..2....0..2..1..2....0..1..2..1
..3..2..0..1....1..1..0..2....3..0..2..1....1..3..0..3....0..2..3..3
..2..2..0..1....1..1..0..2....3..0..2..1....1..3..0..3....2..2..3..3
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..61

Crossrefs

Column 2 is A005212(n-1).

Row 2 is A003440(n-2).