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%I #5 Mar 31 2012 12:36:26
%S 1,2,2,3,5,3,4,11,11,4,6,34,76,34,6,9,101,408,408,101,9,13,299,2025,
%T 3394,2025,299,13,19,890,10548,30971,30971,10548,890,19,28,2643,55431,
%U 299031,546956,299031,55431,2643,28,41,7855,289038,2810070,9357578,9357578
%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 2,1,3,0,4 for x=0,1,2,3,4
%C Every 0 is next to 0 2's, every 1 is next to 1 1's, every 2 is next to 2 3's, every 3 is next to 3 0's, every 4 is next to 4 4's
%C Table starts
%C ..1.....2.......3..........4............6...............9................13
%C ..2.....5......11.........34..........101.............299...............890
%C ..3....11......76........408.........2025...........10548.............55431
%C ..4....34.....408.......3394........30971..........299031...........2810070
%C ..6...101....2025......30971.......546956.........9357578.........155701871
%C ..9...299...10548.....299031......9357578.......279754939........8471917814
%C .13...890...55431....2810070....155701871......8471917814......465819437152
%C .19..2643..289038...26244524...2639528950....259951215394....25583402376768
%C .28..7855.1506376..246996575..44828048153...7909511305426..1398455518363119
%C .41.23340.7857827.2321651409.758613680168.240483051204609.76661027104639150
%H R. H. Hardin, <a href="/A196696/b196696.txt">Table of n, a(n) for n = 1..220</a>
%e Some solutions for n=6 k=4
%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..1..1
%e ..3..0..1..1....1..1..3..0....1..1..0..0....1..0..0..1....0..1..0..0
%e ..0..3..0..0....0..3..0..3....0..3..0..3....1..0..3..1....0..1..3..0
%e ..0..1..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..3..0..3
%e ..0..1..0..0....0..3..0..3....0..0..3..0....0..0..1..0....1..0..0..0
%e ..0..0..1..1....0..1..1..0....0..1..1..0....0..0..1..0....1..0..3..0
%Y Column 1 is A000930(n+1)
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Oct 05 2011
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