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%I #5 Mar 31 2012 12:35:53
%S 6,56,56,520,1243,520,4832,27380,27380,4832,44896,603766,1427084,
%T 603766,44896,417152,13311808,74491726,74491726,13311808,417152,
%U 3875968,293504588,3887550226,9207834547,3887550226,293504588,3875968,36013568
%N T(n,k)=1/24 the number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock containing exactly three distinct values
%C Table starts
%C ..........6.............56.................520..................4832
%C .........56...........1243...............27380................603766
%C ........520..........27380.............1427084..............74491726
%C .......4832.........603766............74491726............9207834547
%C ......44896.......13311808..........3887550226.........1137874208678
%C .....417152......293504588........202888369698.......140620157014391
%C ....3875968.....6471298096......10588548225946.....17377952662176322
%C ...36013568...142681644568.....552606468835138...2147583158143435461
%C ..334620160..3145899035840...28840014212057954.265400246990014695972
%C .3109124096.69361976167600.1505133360863436226
%H R. H. Hardin, <a href="/A183594/b183594.txt">Table of n, a(n) for n = 1..84</a>
%e Some solutions with a(1,1)=0 for 4X3
%e ..0..0..0....0..2..2....0..1..2....0..1..2....0..2..1....0..2..0....0..0..2
%e ..3..1..2....0..3..0....3..1..0....3..3..1....2..1..3....1..2..1....3..1..0
%e ..0..1..0....2..0..2....3..2..0....0..2..3....3..1..2....3..2..0....3..2..0
%e ..3..0..3....2..3..2....3..1..0....3..3..0....2..3..1....0..2..1....3..0..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 05 2011