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%I #8 Apr 15 2018 08:59:14
%S 34,92,240,672,1646,4452,11050,29506,74092,195978,496142,1303446,
%T 3318830,8676824,22183736,57796628,148199862,385159228,989675770,
%U 2567545726,6607214940,17119703570,44102038206,114168385010,294332423078
%N Number of (n+1) X 3 binary arrays with no 2 X 2 subblock determinant equal to any horizontal or vertical neighbor 2 X 2 subblock determinant.
%C Column 2 of A185467.
%H R. H. Hardin, <a href="/A185460/b185460.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 5*a(n-2) + 4*a(n-3) + 4*a(n-4) - 8*a(n-5) - a(n-6) + 3*a(n-8) for n>10.
%F Empirical g.f.: 2*x*(17 + 46*x + 35*x^2 + 38*x^3 - 29*x^4 + 18*x^5 - 29*x^6 - 7*x^7 - 18*x^8 + 2*x^9) / (1 - 5*x^2 - 4*x^3 - 4*x^4 + 8*x^5 + x^6 - 3*x^8). - _Colin Barker_, Apr 15 2018
%e Some solutions for 5 X 3:
%e ..1..1..0....1..1..1....1..1..0....1..1..1....0..1..0....0..1..0....0..0..1
%e ..0..1..0....0..1..0....0..1..0....0..1..0....1..1..1....0..1..1....0..1..0
%e ..1..0..1....1..1..1....1..0..1....1..1..0....0..1..1....1..1..1....1..0..1
%e ..0..1..1....0..1..0....0..1..0....1..1..1....0..1..0....1..1..0....1..1..0
%e ..0..0..1....1..0..1....0..0..1....1..0..0....1..0..0....1..0..0....0..0..1
%Y Cf. A185467.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 28 2011
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