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%I #5 Mar 31 2012 12:36:29
%S 1,1,1,1,1,1,1,3,3,1,1,7,32,7,1,1,17,45,45,17,1,1,41,189,161,189,41,1,
%T 1,99,646,899,899,646,99,1,1,239,1873,4023,7485,4023,1873,239,1,1,577,
%U 6209,19387,50831,50831,19387,6209,577,1,1,1393,19883,92169,355929,509018
%N T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,4,1,0,1 for x=0,1,2,3,4
%C Every 0 is next to 0 2's, every 1 is next to 1 4's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 1's
%C Table starts
%C .1....1.....1.......1.........1..........1............1..............1
%C .1....1.....3.......7........17.........41...........99............239
%C .1....3....32......45.......189........646.........1873...........6209
%C .1....7....45.....161.......899.......4023........19387..........92169
%C .1...17...189.....899......7485......50831.......355929........2503359
%C .1...41...646....4023.....50831.....509018......5198997.......54278107
%C .1...99..1873...19387....355929....5198997.....79831388.....1224953019
%C .1..239..6209...92169...2503359...54278107...1224953019....27751402365
%C .1..577.19883..436539..17611057..559939403..18720559109...626740493233
%C .1.1393.62891.2077281.123747825.5785336959.286695564063.14153165294295
%H R. H. Hardin, <a href="/A197373/b197373.txt">Table of n, a(n) for n = 1..264</a>
%e Some solutions containing all values 0 to 4 for n=6 k=4
%e ..0..0..1..2....2..1..0..0....0..0..0..0....0..3..0..0....0..3..0..0
%e ..0..1..4..1....1..4..1..0....0..3..3..0....0..0..0..3....3..0..0..3
%e ..0..0..1..0....0..1..0..0....3..0..0..0....0..0..0..0....0..0..3..0
%e ..0..0..0..0....0..0..3..0....0..0..1..0....0..0..1..0....0..0..1..0
%e ..0..0..0..3....0..0..3..0....0..1..4..1....0..1..4..1....0..1..4..1
%e ..0..3..0..0....0..3..0..0....0..0..1..2....0..0..1..2....0..0..1..2
%Y Column 2 is A001333(n-1)
%K nonn,tabl
%O 1,8
%A _R. H. Hardin_ Oct 14 2011
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