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A186568
T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock
10
19683, 721, 721, 2917, 173, 2917, 6594, 401, 401, 6594, 12122, 1411, 1399, 1411, 12122, 20056, 2617, 3421, 3421, 2617, 20056, 29303, 3379, 4807, 8983, 4807, 3379, 29303, 35198, 4033, 5605, 11557, 11557, 5605, 4033, 35198, 53611, 4795, 6511, 12895
OFFSET
1,1
COMMENTS
Table starts
.19683...721..2917..6594.12122.20056..29303..35198..53611..85029.121783.199305
...721...173...401..1411..2617..3379...4033...4795...6361..10443..17153..26995
..2917...401..1399..3421..4807..5605...6511...8029..11647..19237..31623..49805
..6594..1411..3421..8983.11557.12895..14845..18415..25381..40279..63565.102591
.12122..2617..4807.11557.21007.23389..27391..33445..44263..68269.104335.154693
.20056..3379..5605.12895.23389.29935..36133..44887..60493..91519.137701.205879
.29303..4033..6511.14845.27391.36133..47719..60973..82447.122725.185863.278125
.35198..4795..8029.18415.33445.44887..60973..82783.112357.168727.255085.381007
.53611..6361.11647.25381.44263.60493..82447.112357.168391.250285.374335.562933
.85029.10443.19237.40279.68269.91519.122725.168727.250285.441199.644917.946087
LINKS
FORMULA
Empirical, for all columns: a(n)=2*a(n-1)-a(n-2)+2*a(n-3)-4*a(n-4)+2*a(n-5)+2*a(n-6)-2*a(n-7) for n>18,10,11,12,13,14,15,16 respectively for k=1..8
EXAMPLE
Some solutions for 5X4
..0..0..1..0....0..0..0..1....0..0..0..1....0..0..0..0....1..0..0..0
..2..0..0..1....0..0..0..0....0..0..0..1....0..0..0..0....0..0..0..0
..0..2..0..0....0..0..0..0....0..0..0..1....1..0..0..0....0..0..0..0
..0..0..2..0....1..0..0..0....0..0..0..1....2..1..0..0....0..0..0..0
..0..0..0..2....0..0..0..2....0..0..0..1....1..2..1..0....0..1..0..0
CROSSREFS
Sequence in context: A206133 A321825 A186559 * A186560 A046322 A224658
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 23 2011
STATUS
approved