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Number of (n+2)X(n+2) binary arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock
1

%I #6 Mar 31 2012 12:36:19

%S 512,45,158,458,834,1230,1910,3018,5102,9706,18522,34606,65258,119934,

%T 217210,400266,736570,1351694,2506658,4638314,8542346,15797722,

%U 29180334,53760774,99319938,183479122,338452838,625204870,1154917550,2131346658

%N Number of (n+2)X(n+2) binary arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock

%C Diagonal of A190033

%H R. H. Hardin, <a href="/A190024/b190024.txt">Table of n, a(n) for n = 1..59</a>

%e Some solutions for 4X4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ May 04 2011