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%I #5 Mar 31 2012 12:36:06
%S 262144,2428,2428,19236,421,19236,46583,1201,1201,46583,104701,6829,
%T 6712,6829,104701,186096,14221,20152,20152,14221,186096,277659,18517,
%U 28984,79096,28984,18517,277659,322910,21661,32992,100600,100600,32992,21661
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock
%C Table starts
%C .262144..2428..19236..46583.104701.186096..277659..322910..569446..975469
%C ...2428...421...1201...6829..14221..18517...21661...25381...34645...64384
%C ..19236..1201...6712..20152..28984..32992...37576...46624...73744..138808
%C ..46583..6829..20152..79096.100600.108640..121144..148048..208576..364504
%C .104701.14221..28984.100600.214264.230224..260584..310528..410080..683224
%C .186096.18517..32992.108640.230224.287368..338176..414184..568744..927136
%C .277659.21661..37576.121144.260584.338176..443560..571984..798832.1272712
%C .322910.25381..46624.148048.310528.414184..571984..801208.1130584.1842208
%C .569446.34645..73744.208576.410080.568744..798832.1130584.1845448.2954656
%C .975469.64384.138808.364504.683224.927136.1272712.1842208.2954656.6154456
%H R. H. Hardin, <a href="/A186881/b186881.txt">Table of n, a(n) for n = 1..1402</a>
%F Empirical, for all columns: a(n)=2*a(n-1)-a(n-2)+3*a(n-3)-6*a(n-4)+3*a(n-5)+3*a(n-6)-3*a(n-7) for n>20,10,11,12,13,14,15,16 respectively for row=1..8
%e Some solutions for 5X4
%e ..0..0..0..2....0..0..1..1....0..0..0..0....1..0..0..0....3..3..3..3
%e ..0..0..0..0....0..0..0..3....0..0..0..0....0..0..0..3....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 ..3..0..0..0....0..0..0..0....1..0..0..0....0..0..0..0....0..0..0..0
%e ..3..3..0..0....3..0..0..0....3..0..0..0....2..0..0..0....2..2..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 28 2011
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