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T(n,k)=Number of (n+2)X(k+2) binary arrays with each 3X3 subblock singular
10

%I #5 Mar 31 2012 12:36:04

%S 338,2038,2038,12278,21466,12278,72802,224698,224698,72802,434174,

%T 2270854,4071834,2270854,434174,2588842,23369314,69579654,69579654,

%U 23369314,2588842,15426974,240280270,1231779874,1926378146,1231779874

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

%C Table starts

%C ........338..........2038............12278...............72802

%C .......2038.........21466...........224698.............2270854

%C ......12278........224698..........4071834............69579654

%C ......72802.......2270854.........69579654..........1926378146

%C .....434174......23369314.......1231779874.........56374248542

%C ....2588842.....240280270......21790214094.......1642063770394

%C ...15426974....2466606274.....384595851458......47475070890310

%C ...91951882...25348415950....6808982811886....1379260723246658

%C ..548068238..260479732738..120583672850434...40045291785767870

%C .3266618650.2676521643406.2135856648045198.1162075116201924610

%H R. H. Hardin, <a href="/A186052/b186052.txt">Table of n, a(n) for n = 1..112</a>

%e Some solutions for 5X4

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 11 2011