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%I #5 Mar 31 2012 12:36:27
%S 1,1,1,1,2,1,1,3,3,1,1,4,7,4,1,1,6,12,12,6,1,1,9,26,35,26,9,1,1,13,56,
%T 102,102,56,13,1,1,19,113,281,473,281,113,19,1,1,28,235,787,1900,1900,
%U 787,235,28,1,1,41,490,2237,7428,11280,7428,2237,490,41,1,1,60,1012,6346
%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 3,4,2,0,1 for x=0,1,2,3,4
%C Every 0 is next to 0 3's, every 1 is next to 1 4's, every 2 is next to 2 2'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............1
%C .1..2....3.....4......6........9........13.........19...........28
%C .1..3....7....12.....26.......56.......113........235..........490
%C .1..4...12....35....102......281.......787.......2237.........6346
%C .1..6...26...102....473.....1900......7428......29859.......120761
%C .1..9...56...281...1900....11280.....62298.....350779......1995082
%C .1.13..113...787...7428....62298....494579....3938849.....31419870
%C .1.19..235..2237..29859...350779...3938849...44461736....500005832
%C .1.28..490..6346.120761..1995082..31419870..500005832...7927841482
%C .1.41.1012.17976.488123.11350977.250968250.5615771466.125246087887
%H R. H. Hardin, <a href="/A196863/b196863.txt">Table of n, a(n) for n = 1..264</a>
%e Some solutions for n=6 k=4
%e ..0..2..2..2....0..0..0..0....0..0..0..0....0..2..2..0....0..0..0..0
%e ..0..2..0..2....0..0..2..2....0..2..2..2....0..2..2..0....2..2..2..2
%e ..2..2..0..2....0..0..2..2....2..2..0..2....0..0..0..0....2..0..0..2
%e ..2..0..0..2....2..2..0..0....2..0..0..2....0..0..0..0....2..0..0..2
%e ..2..2..0..2....2..2..0..0....2..0..2..2....0..2..2..0....2..0..0..2
%e ..0..2..2..2....0..0..0..0....2..2..2..0....0..2..2..0....2..2..2..2
%Y Column 2 is A000930(n+1)
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_ Oct 06 2011
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