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T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock summing to less than 6
10

%I #5 Mar 31 2012 12:36:00

%S 150,1740,1740,19269,67330,19269,216912,2405797,2405797,216912,

%T 2430631,88458672,266060160,88458672,2430631,27278035,3225439429,

%U 30765364899,30765364899,3225439429,27278035,305991368,117938741095,3509487618613

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock summing to less than 6

%C Table starts

%C .......150..........1740.............19269................216912

%C ......1740.........67330...........2405797..............88458672

%C .....19269.......2405797.........266060160...........30765364899

%C ....216912......88458672.......30765364899........11348244616180

%C ...2430631....3225439429.....3509487618613......4110692224930359

%C ..27278035..117938741095...402221585928132...1498459859767029015

%C .305991368.4308670152724.46028365937520330.545098899148923125052

%H R. H. Hardin, <a href="/A184673/b184673.txt">Table of n, a(n) for n = 1..112</a>

%e Some solutions for 4X3

%e ..2..2..1....2..2..2....2..2..3....2..2..2....2..0..2....0..2..0....0..2..2

%e ..2..2..2....2..0..3....2..0..3....2..2..3....2..3..2....2..2..3....2..3..1

%e ..3..1..2....3..3..0....3..2..3....1..1..3....2..0..3....3..3..1....2..2..3

%e ..0..2..3....2..2..2....0..3..1....2..2..2....3..3..3....1..1..3....0..3..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 19 2011