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%I #8 Sep 04 2022 10:43:01
%S 8,20,134,156,2664,1224,54504,9612,1119906,75492,23025384,592920,
%T 473447592,4656852,9735152022,36575388,200177107272,287266824,
%U 4116102713928,2256222924,84636562515282,17720604900,1740322886860296
%N Number of (n+1) X (n+1) 0..1 arrays with every 2 X 2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..1 introduced in row major order.
%C Diagonal of A208085.
%H R. H. Hardin, <a href="/A208084/b208084.txt">Table of n, a(n) for n = 1..69</a>
%e Some solutions for n=4
%e ..0..0..0..1..0....0..1..1..1..1....0..1..1..0..1....0..1..0..0..0
%e ..1..1..1..1..1....0..0..0..0..0....0..0..0..0..0....1..1..1..1..1
%e ..1..1..1..1..1....0..0..0..0..0....0..0..0..0..0....1..1..1..1..1
%e ..1..0..1..0..1....0..1..0..1..0....1..0..1..0..1....0..1..0..1..0
%e ..0..1..0..1..0....1..0..1..0..1....0..1..0..1..0....1..0..1..0..1
%Y Cf. A208085.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 23 2012
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