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%I #5 Mar 31 2012 12:36:27
%S 1,1,1,1,2,1,1,3,3,1,1,4,7,4,1,1,6,12,12,6,1,1,9,27,37,27,9,1,1,13,58,
%T 114,114,58,13,1,1,19,121,335,602,335,121,19,1,1,28,257,1003,2659,
%U 2659,1003,257,28,1,1,41,545,3051,11843,18354,11843,3051,545,41,1,1,60,1153
%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 1,3,2,4,0 for x=0,1,2,3,4
%C Every 0 is next to 0 1's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 4's, every 4 is next to 4 0'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......27.......58........121.........257...........545
%C .1..4...12....37.....114......335.......1003........3051..........9290
%C .1..6...27...114.....602.....2659......11843.......54151........248884
%C .1..9...58...335....2659....18354.....123261......841565.......5796373
%C .1.13..121..1003...11843...123261....1272060....13167317.....137002955
%C .1.19..257..3051...54151...841565...13167317...208122448....3292303911
%C .1.28..545..9290..248884..5796373..137002955..3292303911...79321631051
%C .1.41.1153.28268.1149368.40206133.1435498461.52389784706.1920625948633
%H R. H. Hardin, <a href="/A196922/b196922.txt">Table of n, a(n) for n = 1..312</a>
%e Some solutions for n=6 k=4
%e ..2..2..2..0....0..0..0..0....0..2..2..2....2..2..2..2....0..0..0..0
%e ..2..0..2..2....0..0..0..0....0..2..0..2....2..0..0..2....2..2..2..0
%e ..2..2..0..2....2..2..2..2....2..2..0..2....2..2..2..2....2..0..2..0
%e ..0..2..2..2....2..0..0..2....2..0..0..2....0..0..0..0....2..0..2..2
%e ..0..0..0..0....2..2..0..2....2..2..0..2....0..0..0..0....2..2..0..2
%e ..0..0..0..0....0..2..2..2....0..2..2..2....0..0..0..0....0..2..2..2
%Y Column 2 is A000930(n+1)
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_ Oct 07 2011
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