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%I #4 Jan 08 2013 06:13:52
%S 1,3,3,7,19,7,17,141,141,17,41,1073,3119,1073,41,99,8203,71977,71977,
%T 8203,99,239,62771,1688295,5007745,1688295,62771,239,577,480437,
%U 39832247,355645325,355645325,39832247,480437,577,1393,3677345,941623211
%N T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some king-move neighbor, with no occupancy greater than 2
%C Table starts
%C ....1.......3.........7..........17..........41..........99...........239
%C ....3......19.......141........1073........8203.......62771........480437
%C ....7.....141......3119.......71977.....1688295....39832247.....941623211
%C ...17....1073.....71977.....5007745...355645325.25512853201.1838393941445
%C ...41....8203...1688295...355645325.76274599591
%C ...99...62771..39832247.25512853201
%C ..239..480437.941623211
%C ..577.3677345
%C .1393
%H R. H. Hardin, <a href="/A221269/b221269.txt">Table of n, a(n) for n = 1..49</a>
%e Some solutions for n=3 k=4
%e ..0..2..1..1....0..0..2..0....0..2..1..0....1..1..0..2....1..0..1..2
%e ..2..0..2..0....2..1..2..2....2..0..1..2....2..0..2..0....2..1..2..2
%e ..1..1..1..1....2..1..0..0....1..0..2..1....0..2..1..1....0..1..0..0
%Y Column 1 is A001333
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Jan 08 2013
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