%I #11 Jan 19 2018 05:11:36
%S 16,40,124,256,736,1408,3904,7168,19456,34816,93184,163840,434176,
%T 753664,1982464,3407872,8912896,15204352,39583744,67108864,174063616,
%U 293601280,759169024,1275068416,3288334336
%N Number of (n+1) X (n+1) 0..1 arrays with the number of clockwise edge increases in every 2 X 2 subblock differing from each horizontal or vertical neighbor.
%C Diagonal of A205193.
%F Conjectures from _Colin Barker_, Jan 17 2018: (Start)
%F G.f.: 4*x*(4 + 10*x - x^2 - 16*x^3) / ((1 - 2*x)^2*(1 + 2*x)^2).
%F a(n) = 8*a(n-2) - 16*a(n-4) for n>3.
%F (End)
%e Some solutions for n=4:
%e 0 0 1 0 1 0 0 1 1 0 0 1 0 0 0 1 0 1 0 0
%e 0 0 0 1 1 0 0 1 1 0 1 0 0 0 1 1 1 0 0 0
%e 1 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 0 0 1
%e 0 1 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0
%e 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 23 2012