A208301 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 or antidiagonal neighbor (colorings ignoring permutations of colors).

1, 1, 2, 2, 5, 5, 5, 42, 52, 15, 15, 602, 2906, 877, 52, 52, 12840, 373780, 433252, 21147, 203, 203, 373780, 87852626, 656404264, 113503692, 678570, 877, 877, 14050312, 33093356640, 2227156082842, 2475181138384, 46538017584, 27644437, 4140

Offset: 1

Author

R. H. Hardin, Feb 25 2012

Keywords

• nonn
• tabl

Examples

			Table starts
....1..........1.................2.....................5
....2..........5................42...................602
....5.........52..............2906................373780
...15........877............433252.............656404264
...52......21147.........113503692.........2475181138384
..203.....678570.......46538017584.....17131843186425504
..877...27644437....27700815674032.196551307092757144384
.4140.1382958545.22702140562948192
Some solutions for n=4 k=3
..0..1..0....0..1..0....0..1..0....0..1..0....0..1..0....0..1..2....0..1..0
..0..1..0....0..1..0....0..1..0....0..1..0....2..3..0....0..3..0....0..1..0
..0..1..0....0..2..1....0..1..0....0..1..0....0..2..0....0..1..0....2..1..0
..0..2..1....0..2..0....0..1..0....0..1..2....0..1..0....0..3..0....2..1..2
		

Links

• Andrew Howroyd, Table of n, a(n) for n = 1..210 (terms 1..58 from R. H. Hardin)

Crossrefs

Columns 1..6 are A000110, A099977(n-1), A208297, A208298, A208299, A208300

Rows 1..7 are A000110(n-1), A208302, A208303, A208305, A208305, A208306, A208307.

Main diagonal is A361450.

Cf. A207868.