A208096 T(n,k)=Number of n X k nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to any horizontal, diagonal or antidiagonal neighbor (colorings ignoring permutations of colors).

1, 1, 2, 2, 4, 5, 5, 30, 34, 15, 15, 377, 1573, 500, 52, 52, 7239, 169064, 192328, 10900, 203, 203, 193228, 34438557, 235862938, 43366459, 322768, 877, 877, 6752442, 11535531783, 677352910013, 746823293346, 15769674462, 12297768, 4140

Offset: 1

Author

R. H. Hardin, Feb 23 2012

Keywords

• nonn
• tabl

Examples

			Table starts
....1........1...........2............5...........15..........52...........203
....2........4..........30..........377.........7239......193228.......6752442
....5.......34........1573.......169064.....34438557.11535531783.5804338800147
...15......500......192328....235862938.677352910013
...52....10900....43366459.746823293346
..203...322768.15769674462
..877.12297768
.4140
Some solutions for n=4 k=3
..0..1..2....0..1..0....0..1..0....0..1..2....0..1..2....0..1..0....0..1..0
..0..1..2....2..1..0....0..1..0....0..3..2....0..3..0....2..3..0....0..1..0
..0..1..0....3..1..2....2..1..0....0..1..0....0..1..0....0..3..0....2..1..2
..0..1..0....2..1..0....2..1..2....3..1..0....0..3..0....0..1..0....0..1..0
		

Links

• Andrew Howroyd, Table of n, a(n) for n = 1..210 (terms 1..39 from R. H. Hardin).

Crossrefs

Columns 1..5 are A000110, A207864, A208093, A208094, A208095.

Rows 1..5 are A000110(n-1), A208097, A208098, A208099, A208100.

Main diagonal is A361449.

Cf. A207868.