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%I #5 Jun 26 2015 17:28:58
%S 13,243,12953,1990133,873754597,1101527291223,3975872829274865,
%T 41147590225188806309,1220087829652769318601383,
%U 103689338398592714772850061461,25251868912730969096083539641411367
%N Number of (n+1)X(n+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0011 or 0111
%C Diagonal of A259427
%H R. H. Hardin, <a href="/A259420/b259420.txt">Table of n, a(n) for n = 1..14</a>
%e Some solutions for n=3
%e ..1..1..1..1....0..0..0..0....0..0..1..1....0..0..1..1....1..1..1..0
%e ..0..0..0..0....1..0..0..1....0..0..0..0....0..0..1..0....1..0..1..0
%e ..0..0..1..0....0..0..1..1....1..1..1..0....0..0..1..1....1..0..1..1
%e ..1..1..1..1....0..0..0..1....1..0..1..0....1..0..0..0....1..1..1..0
%Y Cf. A259427
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 26 2015