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

1,12

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

Links

Table of n, a(n) for n=1..59.

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

Adjacent sequences: A268139 A268140 A268141 * A268143 A268144 A268145

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 27 2016

Status

approved