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%I #9 Apr 17 2018 06:18:41
%S 22,164,1254,9604,73542,563180,4312662,33025492,252901110,1936659260,
%T 14830481526,113568392452,869680280982,6659809438220,50999270878806,
%U 390540554136916,2990668706374134,22901845251766748,175377003214493814
%N 1/128 the number of (n+2) X 4 binary arrays with no 3 X 3 subblock trace equal to any horizontal or vertical neighbor 3 X 3 subblock trace.
%C Column 2 of A185866.
%H R. H. Hardin, <a href="/A185859/b185859.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 6*a(n-1) + 17*a(n-2) - 36*a(n-3) + 24*a(n-4) - 6*a(n-5).
%F Empirical g.f.: 2*x*(11 + 16*x - 52*x^2 + 42*x^3 - 12*x^4) / (1 - 6*x - 17*x^2 + 36*x^3 - 24*x^4 + 6*x^5). - _Colin Barker_, Apr 17 2018
%e Some solutions for 6 X 4:
%e ..0..0..0..1....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e ..0..1..1..0....0..1..0..0....0..0..1..0....1..1..1..1....1..0..0..0
%e ..1..1..0..1....1..0..1..0....1..0..0..0....0..1..0..1....0..0..0..1
%e ..0..0..1..0....1..0..0..0....0..1..1..0....0..0..0..0....0..1..1..0
%e ..0..0..0..1....1..1..0..0....1..0..1..0....1..0..0..1....0..0..0..1
%e ..1..0..0..1....1..0..0..1....0..1..1..1....1..0..1..0....1..1..0..0
%Y Cf. A185866.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 05 2011
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