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%I #5 Mar 31 2012 12:36:05
%S 43046721,8824,8824,38608,827,38608,192026,1991,1991,192026,805791,
%T 12263,5879,12263,805791,1728546,42313,39757,39757,42313,1728546,
%U 2296065,79015,115699,163723,115699,79015,2296065,2604716,98893,149305,293665,293665
%N T(n,k)=Number of (n+3)X(k+3) 0..2 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock
%C Table starts
%C .43046721...8824..38608.192026.805791.1728546.2296065.2604716.2927679.3089510
%C .....8824....827...1991..12263..42313...79015...98893..104983..108805..112735
%C ....38608...1991...5879..39757.115699..149305..156259..160945..165739..171145
%C ...192026..12263..39757.163723.293665..328891..335737..342691..350257..364195
%C ...805791..42313.115699.293665.569947..626233..635779..645937..662467..701065
%C ..1728546..79015.149305.328891.626233..811795..823249..841075..880969.1019683
%C ..2296065..98893.156259.335737.635779..823249..855715..895753.1034611.1222033
%C ..2604716.104983.160945.342691.645937..841075..895753.1049539.1237105.1449115
%C ..2927679.108805.165739.350257.662467..880969.1034611.1237105.1464331.1727785
%C ..3089510.112735.171145.364195.701065.1019683.1222033.1449115.1727785.2211763
%H R. H. Hardin, <a href="/A186589/b186589.txt">Table of n, a(n) for n = 1..760</a>
%F Empirical, for all columns: a(n)=2*a(n-1)-a(n-2)+2*a(n-4)-4*a(n-5)+2*a(n-6)+2*a(n-8)-2*a(n-9) for n>24,14,13,14,15,16,17,18 for k=1..8
%e Some solutions for 6X5
%e ..0..1..2..2..2....0..0..1..1..0....0..0..1..1..0....0..0..0..0..0
%e ..0..0..1..2..2....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
%e ..0..0..0..1..2....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
%e ..0..0..0..0..1....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
%e ..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
%e ..0..0..0..0..0....2..2..2..0..0....0..0..0..0..1....2..1..0..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 24 2011
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