A184467 T(n,k)=Half the number of (n+1)X(k+1) binary arrays with equal numbers of majority one 2X2 subblocks and majority zero 2X2 subblocks.

3, 7, 7, 26, 35, 26, 91, 244, 244, 91, 334, 1693, 3090, 1693, 334, 1212, 12324, 42874, 42874, 12324, 1212, 4496, 89908, 616534, 1181303, 616534, 89908, 4496, 16809, 667600, 9016218, 33787978, 33787978, 9016218, 667600, 16809, 63442, 5002165

Offset: 1

Author

R. H. Hardin Jan 15 2011

Keywords

• nonn
• tabl

Comments

Table starts

......3.........7...........26..............91.................334

......7........35..........244............1693...............12324

.....26.......244.........3090...........42874..............616534

.....91......1693........42874.........1181303............33787978

....334.....12324.......616534........33787978..........1925704384

...1212.....89908......9016218.......986306398........112210745828

...4496....667600....133687638.....29202473260.......6636592203096

..16809...5002165...2002023718....873679701315.....396770571117114

..63442..37777626..30215911640..26348265181700...23916105558978568

.240728.286971238.458822048550.799618906955872.1450886078150900726

Examples

			Some solutions for 4X3
..0..0..1....0..0..1....0..0..0....0..0..1....0..1..0....0..1..0....0..0..1
..0..1..0....1..1..1....1..1..1....0..0..1....0..0..1....1..1..0....1..1..0
..0..1..0....0..0..1....0..0..1....0..1..1....0..1..0....0..0..1....1..1..0
..1..1..0....1..0..0....0..0..1....0..1..1....1..1..1....1..0..1....0..0..0
...
...M..E.......E..P.......E..E.......M..E.......M..E.......P..E.......E..E...
...E..E.......E..P.......E..P.......M..P.......M..E.......E..E.......P..E...
...P..E.......M..M.......M..E.......E..P.......P..P.......M..E.......E..M...
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..180