%I #4 Jun 26 2015 17:30:12
%S 142,1366,12953,123306,1172659,11155819,106118138,1009466878,
%T 9602626846,91346008647,868937609248,8265855103277,78629755083895,
%U 747973270226802,7115169104694298,67683744437222992,643848260656503313
%N Number of (n+1)X(3+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0011 or 0111
%C Column 3 of A259427
%H R. H. Hardin, <a href="/A259422/b259422.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) +41*a(n-2) -44*a(n-3) -278*a(n-4) +51*a(n-5) +426*a(n-6) +36*a(n-7) -131*a(n-8)
%e Some solutions for n=4
%e ..0..1..0..0....1..0..0..0....0..0..1..0....1..0..1..1....1..1..0..0
%e ..1..1..0..0....1..0..1..1....1..0..0..0....0..0..0..1....0..1..0..1
%e ..0..0..0..1....1..0..0..0....0..0..1..0....0..0..0..0....0..1..0..0
%e ..1..0..1..1....1..1..1..1....1..0..0..0....0..0..0..0....0..0..0..0
%e ..0..0..0..0....0..0..1..0....1..0..0..0....0..1..1..1....0..0..0..0
%Y Cf. A259427
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 26 2015