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%I #5 Mar 31 2012 12:36:05
%S 10077696,12828,12828,299556,1441,299556,741024,5545,5545,741024,
%T 2309831,65919,64794,65919,2309831,4364050,155193,242568,242568,
%U 155193,4364050,6628076,203371,355246,1831246,355246,203371,6628076,7396218,229951
%N T(n,k)=Number of (n+2)X(k+2) 0..5 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock
%C Table starts
%C .10077696..12828..299556..741024..2309831..4364050..6628076..7396218.17114474
%C ....12828...1441....5545...65919...155193...203371...229951...261931...368311
%C ...299556...5545...64794..242568...355246...390826...431806...536686...972466
%C ...741024..65919..242568.1831246..2246326..2341306..2500186..2934466..4104646
%C ..2309831.155193..355246.2246326..5762806..5975686..6463966..7362646..9406726
%C ..4364050.203371..390826.2341306..5975686..7092466..8000146..9457726.13055206
%C ..6628076.229951..431806.2500186..6463966..8000146.10131226.13097206.18950086
%C ..7396218.261931..536686.2934466..7362646..9457726.13097206.18983086.28108366
%C .17114474.368311..972466.4104646..9406726.13055206.18950086.28108366.52102546
%C .31887378.829716.2207146.8103226.17118706.23337586.32819866.51690046.92803126
%H R. H. Hardin, <a href="/A186570/b186570.txt">Table of n, a(n) for n = 1..449</a>
%F Empirical, for all columns: a(n)=2*a(n-1)-a(n-2)+5*a(n-3)-10*a(n-4)+5*a(n-5)+5*a(n-6)-5*a(n-7) for n>24,12,11,12,13,14,15,16 respectively for k=1..8
%e Some solutions for 5X4
%e ..0..0..0..4....0..0..3..4....5..0..0..0....0..0..2..1....0..0..4..2
%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..1....0..0..0..5
%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....0..0..0..0....0..0..0..0....0..0..0..0
%e ..3..2..0..0....4..0..0..0....2..0..0..0....5..0..0..0....5..0..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 23 2011
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