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%I #5 Mar 31 2012 12:36:33
%S 1,1,1,2,7,2,3,12,12,3,5,31,54,31,5,8,79,240,240,79,8,13,186,1170,
%T 2093,1170,186,13,21,465,5330,17991,17991,5330,465,21,34,1131,24689,
%U 145266,260917,145266,24689,1131,34,55,2776,116890,1255491,3964286,3964286
%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 4,3,0,1,1 for x=0,1,2,3,4
%C Every 0 is next to 0 4's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 1's, every 4 is next to 4 1's
%C Table starts
%C ..1....1.......2.........3............5..............8................13
%C ..1....7......12........31...........79............186...............465
%C ..2...12......54.......240.........1170...........5330.............24689
%C ..3...31.....240......2093........17991.........145266...........1255491
%C ..5...79....1170.....17991.......260917........3964286..........61513749
%C ..8..186....5330....145266......3964286......108428600........2969407571
%C .13..465...24689...1255491.....61513749.....2969407571......147146211014
%C .21.1131..116890..10755887....932035559....81119721484.....7259079414491
%C .34.2776..549479..91079908..14154918386..2220541431613...356611993766901
%C .55.6803.2578328.776489747.215575583089.60728204921422.17542851737213231
%H R. H. Hardin, <a href="/A198155/b198155.txt">Table of n, a(n) for n = 1..144</a>
%e Some solutions containing all values 0 to 4 for n=6 k=4
%e ..1..3..1..0....0..0..0..0....1..0..0..2....1..0..0..2....0..1..3..1
%e ..0..1..0..2....2..0..0..0....3..1..2..0....3..1..2..0....1..4..1..0
%e ..1..1..3..1....1..3..1..0....1..4..1..0....1..4..1..0....3..1..2..0
%e ..3..1..1..0....1..1..4..1....1..1..3..1....0..1..3..1....1..0..0..1
%e ..1..4..1..0....3..1..1..3....3..1..2..0....0..0..0..0....0..0..1..3
%e ..0..1..3..1....1..0..0..1....1..0..0..2....2..0..0..2....2..0..0..1
%Y Column 1 is A000045
%Y Column 2 is A197229
%K nonn,tabl
%O 1,4
%A _R. H. Hardin_ Oct 21 2011
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