%I
%S 1,1,1,2,7,2,3,20,20,3,5,65,120,65,5,8,203,698,698,203,8,13,648,4078,
%T 7407,4078,648,13,21,2057,23920,79003,79003,23920,2057,21,34,6527,
%U 140348,834632,1516652,834632,140348,6527,34,55,20740,821284,8882811,29239326
%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 3,2,0,4,1 for x=0,1,2,3,4
%C Every 0 is next to 0 3's, every 1 is next to 1 2's, every 2 is next to 2 0's, every 3 is next to 3 4's, every 4 is next to 4 1's
%C Table starts
%C ..1.....1........2...........3.............5................8
%C ..1.....7.......20..........65...........203..............648
%C ..2....20......120.........698..........4078............23920
%C ..3....65......698........7407.........79003...........834632
%C ..5...203.....4078.......79003.......1516652.........29239326
%C ..8...648....23920......834632......29239326.......1029024216
%C .13..2057...140348.....8882811.....567312297......36350586798
%C .21..6527...821284....94530039...10969537457....1279579729422
%C .34.20740..4813216..1004745630..212128886217...45097830841266
%C .55.65833.28205816.10681187595.4104645843820.1589630250146316
%H R. H. Hardin, <a href="/A196802/b196802.txt">Table of n, a(n) for n = 1..161</a>
%e Some solutions for n=6 k=4
%e ..0..0..0..0....0..0..0..2....0..0..0..0....0..0..2..0....0..0..0..0
%e ..0..0..0..2....0..0..0..0....0..1..0..0....0..0..1..0....0..1..2..0
%e ..2..1..0..1....2..2..0..0....2..2..0..0....2..2..0..2....0..0..2..0
%e ..0..0..2..1....0..1..0..2....0..0..0..0....0..2..0..2....2..0..1..0
%e ..0..0..2..0....0..0..0..1....1..2..0..0....0..1..0..0....2..0..1..2
%e ..2..0..2..0....2..0..0..0....0..1..0..2....0..0..2..1....0..2..1..0
%Y Column 1 is A000045
%Y Column 2 is A196584
%K nonn,tabl
%O 1,4
%A _R. H. Hardin_ Oct 06 2011
