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Number of (n+2)X8 0..2 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order
1

%I #5 Mar 31 2012 12:37:01

%S 4128422,29610374,152500334,826613438,4563772922,25723818038,

%T 138134688554,761533538294,4141845409538,22819902563342,

%U 123961103374538,678268376581502,3687728534652242,20228210090452262,110260687991850938

%N Number of (n+2)X8 0..2 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order

%C Column 6 of A204153

%H R. H. Hardin, <a href="/A204151/b204151.txt">Table of n, a(n) for n = 1..48</a>

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 11 2012