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Number of (n+2)X(n+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001001
1

%I #5 Jul 10 2015 08:24:32

%S 34,146,1603,22622,501606,17818241,949570630,77682624194,

%T 9896025788402,1940408456200141,584639553275100018,

%U 271649247842334658120,194639319999547441935265,214876443861835390451767918

%N Number of (n+2)X(n+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001001

%C Diagonal of A259962

%H R. H. Hardin, <a href="/A259954/b259954.txt">Table of n, a(n) for n = 1..15</a>

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A259962

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 10 2015