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%I #5 Mar 31 2012 12:36:30
%S 1,1,1,1,1,1,1,3,3,1,1,7,32,7,1,1,17,69,69,17,1,1,41,308,289,308,41,1,
%T 1,99,1444,2131,2131,1444,99,1,1,239,5048,12071,26282,12071,5048,239,
%U 1,1,577,20265,74637,266240,266240,74637,20265,577,1,1,1393,83277,454685
%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 4,4,1,0,1 for x=0,1,2,3,4
%C Every 0 is next to 0 4'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.......69........308.........1444...........5048............20265
%C .1....7.....69......289.......2131........12071..........74637...........454685
%C .1...17....308.....2131......26282.......266240........2818424.........29249599
%C .1...41...1444....12071.....266240......4538784.......73297686.......1237970513
%C .1...99...5048....74637....2818424.....73297686.....2095251333......58226014909
%C .1..239..20265...454685...29249599...1237970513....58226014909....2629509487169
%C .1..577..83277..2748523..308300414..21169912001..1640490253969..122188777528171
%C .1.1393.322864.16739531.3239050114.353504327702.46006820800296.5604034945748187
%H R. H. Hardin, <a href="/A197529/b197529.txt">Table of n, a(n) for n = 1..220</a>
%e Some solutions containing all values 0 to 4 for n=6 k=4
%e ..0..0..0..0....0..3..0..0....0..3..0..0....0..3..0..0....2..1..0..0
%e ..2..1..0..3....3..0..1..2....0..0..1..0....0..0..0..3....1..4..1..0
%e ..1..4..1..0....0..1..4..1....0..1..4..1....0..3..0..0....0..1..0..0
%e ..2..1..0..0....0..2..1..2....0..2..1..2....2..1..2..0....0..0..0..0
%e ..0..0..0..0....3..0..3..0....0..3..0..0....1..4..1..0....0..3..3..0
%e ..0..3..0..0....0..0..0..0....0..0..3..0....2..1..0..0....0..0..0..0
%Y Column 2 is A001333(n-1)
%K nonn,tabl
%O 1,8
%A _R. H. Hardin_ Oct 16 2011