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T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with each 3X3 subblock nonsingular
3

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

%S 212898,11826498,11826498,657272274,2393686398,657272274,36516002466,

%T 484872198498,484872198498,36516002466,2028771948738,98159708768710,

%U 358095672726522,98159708768710,2028771948738,112716440618754

%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with each 3X3 subblock nonsingular

%C Table starts

%C ..........212898..........11826498..........657272274........36516002466

%C ........11826498........2393686398.......484872198498.....98159708768710

%C .......657272274......484872198498....358095672726522.264254925711547906

%C .....36516002466....98159708768710.264254925711547906

%C ...2028771948738.19873044281563890

%C .112716440618754

%H R. H. Hardin, <a href="/A184652/b184652.txt">Table of n, a(n) for n = 1..23</a>

%e Some solutions for 5X4

%e ..0..0..2..0....0..0..2..0....0..0..2..0....0..0..2..0....0..0..2..0

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 19 2011