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

1,1

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

Links

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

Example

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...

Crossrefs

Sequence in context: A341539 A322934 A077629 * A004794 A336719 A272981

Adjacent sequences: A184464 A184465 A184466 * A184468 A184469 A184470

Keyword

nonn,tabl

Author

R. H. Hardin Jan 15 2011

Status

approved