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A221378
T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor, with no occupancy greater than 2
5
1, 3, 3, 7, 19, 7, 17, 139, 139, 17, 41, 1035, 3017, 1035, 41, 99, 7723, 68006, 68006, 7723, 99, 239, 57643, 1548941, 4616125, 1548941, 57643, 239, 577, 430251, 35365731, 318041768, 318041768, 35365731, 430251, 577, 1393, 3211435, 807887304
OFFSET
1,2
COMMENTS
Table starts
....1.........3............7..............17...............41...............99
....3........19..........139............1035.............7723............57643
....7.......139.........3017...........68006..........1548941.........35365731
...17......1035........68006.........4616125........318041768......22033399959
...41......7723......1548941.......318041768......66128482930...13839040254798
...99.....57643.....35365731.....22033399959...13839040254798.8736375837212974
..239....430251....807887304...1529080824804.2904381959945700
..577...3211435..18456843366.106164820551146
.1393..23970475.421665253450
.3363.178918059
.8119
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..0..0..2....1..1..0..2....2..0..1..2....0..0..2..0....1..0..0..0
..2..1..0..1....2..0..2..0....2..1..0..0....1..1..2..1....2..1..2..2
..1..1..2..2....1..0..2..1....0..1..1..2....1..2..0..2....2..1..0..1
CROSSREFS
Column 1 is A001333
Sequence in context: A058571 A058492 A221303 * A221269 A202047 A036574
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 13 2013
STATUS
approved