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Number of (n+2)X8 binary arrays with each 3X3 subblock having a positive determinant
1

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

%S 20475,319247,3894282,40407070,545528022,6541274560,72905263923,

%T 948612706087,11378633159391,128977165646242,1651775736889251,

%U 19897356422385746,227128059650587084,2877087007288462801

%N Number of (n+2)X8 binary arrays with each 3X3 subblock having a positive determinant

%C Column 6 of A186063

%H R. H. Hardin, <a href="/A186060/b186060.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 4X8

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 11 2011