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%I #4 Jan 13 2013 20:28:59
%S 1,3,3,7,19,7,17,139,139,17,41,1035,3017,1035,41,99,7723,68006,68006,
%T 7723,99,239,57643,1548941,4616125,1548941,57643,239,577,430251,
%U 35365731,318041768,318041768,35365731,430251,577,1393,3211435,807887304
%N 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
%C Table starts
%C ....1.........3............7..............17...............41...............99
%C ....3........19..........139............1035.............7723............57643
%C ....7.......139.........3017...........68006..........1548941.........35365731
%C ...17......1035........68006.........4616125........318041768......22033399959
%C ...41......7723......1548941.......318041768......66128482930...13839040254798
%C ...99.....57643.....35365731.....22033399959...13839040254798.8736375837212974
%C ..239....430251....807887304...1529080824804.2904381959945700
%C ..577...3211435..18456843366.106164820551146
%C .1393..23970475.421665253450
%C .3363.178918059
%C .8119
%H R. H. Hardin, <a href="/A221378/b221378.txt">Table of n, a(n) for n = 1..71</a>
%e Some solutions for n=3 k=4
%e ..0..0..0..2....1..1..0..2....2..0..1..2....0..0..2..0....1..0..0..0
%e ..2..1..0..1....2..0..2..0....2..1..0..0....1..1..2..1....2..1..2..2
%e ..1..1..2..2....1..0..2..1....0..1..1..2....1..2..0..2....2..1..0..1
%Y Column 1 is A001333
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Jan 13 2013
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