A186558 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors.

256, 3891, 3891, 60074, 227890, 60074, 927477, 13360840, 13360840, 927477, 14319230, 783375343, 2976803436, 783375343, 14319230, 221073168, 45931015744, 663296784123, 663296784123, 45931015744, 221073168, 3413126694

Offset: 1

Author

R. H. Hardin Feb 23 2011

Keywords

• nonn
• tabl

Comments

Table starts

.........256............3891.............60074.............927477

........3891..........227890..........13360840..........783375343

.......60074........13360840........2976803436.......663296784123

......927477.......783375343......663296784123....561714653720250

....14319230.....45931015744...147795682647630.475681559860717916

...221073168...2693039069563.32931888185295104

..3413126694.157898954845170

.52694924343

Examples

			Some solutions for 4X3
..0..0..0....3..0..0....2..0..0....0..0..0....0..0..0....1..0..0....1..0..0
..3..1..0....3..2..0....1..1..0....1..1..0....3..2..0....0..3..0....1..2..0
..3..0..3....1..3..3....3..2..3....3..1..0....0..2..0....2..1..2....0..0..0
..2..1..3....0..1..2....0..0..0....1..3..0....0..3..1....2..3..2....3..1..2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..40