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A188105
T(n,k)=Number of (n+3)X(k+3) binary arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock
10
65536, 708, 708, 1417, 143, 1417, 3594, 243, 243, 3594, 8274, 643, 486, 643, 8274, 13814, 1482, 1421, 1421, 1482, 13814, 17850, 2374, 3013, 3341, 3013, 2374, 17850, 20888, 2866, 3765, 5037, 5037, 3765, 2866, 20888, 24117, 3110, 4041, 5661, 7661
OFFSET
1,1
COMMENTS
Table starts
.65536..708.1417.3594..8274.13814.17850.20888.24117.26596.29585.35384.46623
...708..143..243..643..1482..2374..2866..3110..3322..3542..3834..4523..6132
..1417..243..486.1421..3013..3765..4041..4285..4537..4817..5317..6393..9606
..3594..643.1421.3341..5037..5661..5953..6253..6581..7077..8093.10545.15169
..8274.1482.3013.5037..7661..8509..8873..9265..9825.10805.13085.16429.22789
.13814.2374.3765.5661..8509.10229.10653.11245.12257.14405.17321.21217.28861
.17850.2866.4041.5953..8873.10653.11457.12477.14633.17361.20685.25233.34381
.20888.3110.4285.6253..9265.11245.12477.14853.17589.20717.24669.30593.40709
.24117.3322.4537.6581..9825.12257.14633.17589.20945.24693.29997.36761.47833
.26596.3542.4817.7077.10805.14405.17361.20717.24693.30013.36133.43725.56393
LINKS
FORMULA
Empirical for columns 1-8: a(n)=2*a(n-1)-a(n-2)+a(n-4)-2*a(n-5)+a(n-6)+a(n-8)-a(n-9) for n>15,14,13,14,15,16,17,18 respectively
EXAMPLE
Some solutions for 6X5
..0..0..0..0..1....0..0..0..0..0....1..0..0..0..0....0..0..1..0..0
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....1..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..1..0..0..0..0....0..1..0..0..0....0..0..0..0..0....0..0..0..0..0
..1..1..0..0..0....0..0..1..0..0....0..0..0..0..1....1..0..0..0..0
CROSSREFS
Sequence in context: A161195 A069391 A188096 * A188097 A223602 A223695
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 20 2011
STATUS
approved