A205590 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..2 introduced in row major order.

14, 74, 74, 413, 550, 413, 2268, 4220, 4220, 2268, 12574, 32500, 48401, 32500, 12574, 69338, 248940, 541966, 541966, 248940, 69338, 383440, 1910922, 6127845, 8952876, 6127845, 1910922, 383440, 2117054, 14668206, 68604790, 147377704, 147377704

Offset: 1

Author

R. H. Hardin Jan 29 2012

Keywords

• nonn
• tabl

Comments

Table starts

......14........74........413.........2268..........12574...........69338

......74.......550.......4220........32500.........248940.........1910922

.....413......4220......48401.......541966........6127845........68604790

....2268.....32500.....541966......8952876......147377704......2444556894

...12574....248940....6127845....147377704.....3619876639.....88339585116

...69338...1910922...68604790...2444556894....88339585116...3232900348158

..383440..14668206..776680394..40477518336..2185708696857.118372688297292

.2117054.112560786.8702185466.670667507098.53385992474116

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..84